Question

Find the quadratic equations √5x²-7x+2√5=0(use quadratic formula)

Answer 1

Answer:

• An equation of degree 2 is know as quadratic equation .

• An equation of degree 2 is know as quadratic equation .• Roots of an equation is defined as the possible values of the unknown (variable) for which the equation is satisfied.

• An equation of degree 2 is know as quadratic equation .• Roots of an equation is defined as the possible values of the unknown (variable) for which the equation is satisfied.• The maximum number of roots of an equation will be equal to its degree.

• An equation of degree 2 is know as quadratic equation .• Roots of an equation is defined as the possible values of the unknown (variable) for which the equation is satisfied.• The maximum number of roots of an equation will be equal to its degree.• A quadratic equation has atmost two roots.

• An equation of degree 2 is know as quadratic equation .• Roots of an equation is defined as the possible values of the unknown (variable) for which the equation is satisfied.• The maximum number of roots of an equation will be equal to its degree.• A quadratic equation has atmost two roots.• The general form of a quadratic equation is given as , ax² + bx + c = 0 .

• An equation of degree 2 is know as quadratic equation .• Roots of an equation is defined as the possible values of the unknown (variable) for which the equation is satisfied.• The maximum number of roots of an equation will be equal to its degree.• A quadratic equation has atmost two roots.• The general form of a quadratic equation is given as , ax² + bx + c = 0 .• The discriminant of the quadratic equation is given as , D = b² - 4ac .

• An equation of degree 2 is know as quadratic equation .• Roots of an equation is defined as the possible values of the unknown (variable) for which the equation is satisfied.• The maximum number of roots of an equation will be equal to its degree.• A quadratic equation has atmost two roots.• The general form of a quadratic equation is given as , ax² + bx + c = 0 .• The discriminant of the quadratic equation is given as , D = b² - 4ac .• If D = 0 , then the quadratic equation would have real and equal roots .

• An equation of degree 2 is know as quadratic equation .• Roots of an equation is defined as the possible values of the unknown (variable) for which the equation is satisfied.• The maximum number of roots of an equation will be equal to its degree.• A quadratic equation has atmost two roots.• The general form of a quadratic equation is given as , ax² + bx + c = 0 .• The discriminant of the quadratic equation is given as , D = b² - 4ac .• If D = 0 , then the quadratic equation would have real and equal roots .• If D > 0 , then the quadratic equation would have real and distinct roots .

• An equation of degree 2 is know as quadratic equation .• Roots of an equation is defined as the possible values of the unknown (variable) for which the equation is satisfied.• The maximum number of roots of an equation will be equal to its degree.• A quadratic equation has atmost two roots.• The general form of a quadratic equation is given as , ax² + bx + c = 0 .• The discriminant of the quadratic equation is given as , D = b² - 4ac .• If D = 0 , then the quadratic equation would have real and equal roots .• If D > 0 , then the quadratic equation would have real and distinct roots .• If D < 0 , then the quadratic equation would have imaginary roots .

Step-by-step explanation:

▪️The given quadratic equation is ;

▪️√5x² - 7x + 2√5

▪️Clearly , we have ;

▪️a = √5

▪️b = -7

▪️c = 2√5

▪️We know that,

▪️The discriminant (D) is given by b² - 4ac.

▪️Thus,

▪️=> D = (-7)² - 4•√5•2√5

▪️=> D = 49 - 40

▪️=> D = 9

▪️Hence,

▪️The required value of discriminant is 9.

Hopes it help you❤️❤️

Answer 2

Answer:

D = 9

Note:

• An equation of degree 2 is know as quadratic equation .

• Roots of an equation is defined as the possible values of the unknown (variable) for which the equation is satisfied.

• The maximum number of roots of an equation will be equal to its degree.

• A quadratic equation has at most two roots.

• The general form of a quadratic equation is given as , ax² + bx + c = 0 .

• The discriminant of the quadratic equation is given as , D = b² - 4ac .

• If D = 0 , then the quadratic equation would have real and equal roots .

• If D > 0 , then the quadratic equation would have real and distinct roots .

• If D < 0 , then the quadratic equation would have imaginary roots .

Solution:

The given quadratic equation is ;

√5x² - 7x + 2√5

Clearly , we have ;

a = √5

b = -7

c = 2√5

We know that,

The discriminant (D) is given by b² - 4ac.

Thus,

=> D = (-7)² - 4•√5•2√5

=> D = 49 - 40

=> D = 9

Hence,

The required value of discriminant is 9.