Question

X²+7x-1=0 find the value of discriminant

Answer 1

Answer:

The value of the discriminant of the Quadratic equation = 53

Step-by-step explanation:

Quadratic Equation:

The polynomial equation of degree 2 in one variable is called a Quadratic equation.

• The general form of Quadratic equation is ax²+bx+c = 0

Discriminant:

• The Discriminant of the Quadratic equation is D = b²- 4ac

Discriminant and Nature of roots:

• If the discriminant is positive, D>0 then the Quadratic equation has Distinct and real roots.
• If the discriminant is negative, D<0 then the Quadratic equation has Distinct and complex roots.
• If the discriminant is equal to zero, D=0 then the Quadratic equation has two equal roots.

       Given equation is x²+7x-1 = 0

      Compare the given equation with general Quadratic equation.

               a = 1, b = 7, c = -1

       Discriminant value of the equation  x²+7x-1 = 0 is

            b²- 4ac = (7)²- 4(1)(-1)

                         = 49 + 4

                         = 53 > 0

   The value of the discriminant of the Quadratic equation = 53