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If the sum and product

of roots of a quadratic
equation are -7/2 and
5/2 respectively,then
the equation is :​

1 Answer

3 votes

Answer:

The equation is y = 2x² + 7x + 5

Explanation:

In the quadratic equation y = ax² + bx + c

  • The roots of it are the values of x at y = 0
  • The sum of the two roots =
    (-b)/(a)
  • The product of the two roots =
    (c)/(a)

∵ The sum of the roots is
(-7)/(2)

∵ The product of the roots is
(5)/(2)

→ By using the rules above


(-b)/(a) =
(-7)/(2)


(c)/(a) =
(5)/(2)

→ Compare between them

a = 2

∴ -b = -7 ⇒ divide both sides by -1

b = 7

c = 5

∵ The form of the quadratic function is y = ax² + bx + c

→ Substitute the values of a, b, and c in it

∴ y = 2x² + 7x + 5

The equation is y = 2x² + 7x + 5

User Nick Savage
by
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