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Find The quadratic Equation Whose Roots Are -2q And 5q.&n...

Find The quadratic Equation Whose Roots Are -2q And 5q.

A.

3x $^2$ + 3qx - 10q $^2$

B.

x $^2$ + 3qx + 10q $^2$

C.

x $^2$ - 3qx + 10q $^2$

D.

x $^2$ - 3qx - 10q $^2$

View answer & explanation

Correct answer is D

x $^2$ - (sum of roots)x + (products of roots) = 0

x $^2$ - (-2q + 5q) + (-2q * 5q) = 0

x $^2$ -(3q) + (-10q $^2$ ) = 0

x $^2$ -3q - 10q $^2$ = 0

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