Question

ii) Form the quadratic equation whose roots are 3 and -10.



please correct answer​

Answer 1

Given,

• The Roots of Quadratic Equation is 3 and -10.

To Find,

• The Quadratic Equation.

Solution,

Let's,

The Roots are A and B.

The Quadratic Equation is In The Form of;

X² + (A + B)X + AB = 0

The Sum of Roots = A + B

→ The Sum of Roots = 3 + (-10)

→ The Sum of Roots = 3 - 10

→ The Sum of Roots = - 7

The Product of Roots = AB

→ The Product of Roots = (3)(-10)

→ The Product of Roots = -30

Quadratic Equation → X² + (A + B)X + AB = 0

Quadratic Equation → X² + (-7)X + (-30) = 0

Quadratic Equation → X² - 7X - 30 = 0

Required Answer,

• Quadratic Equation is X² - 7X - 30 = 0