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

The equation is y = 2x² + 7x + 5

Step-by-step explanation:

In the quadratic equation y = ax² + bx + c

∵ The sum of the roots is

∵ The product of the roots is

→ By using the rules above

∴ =

∴ =

→ 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

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step-by-step explanation:

step-by-step explanation:

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