Question

Is this correct? Please help I have a test on this 11.    Work backwards to write a quadratic equation that will have solutions of x = 12 and x = 2.

Answer 1

EXPLANATION

Given the variables:

x=12 and x=2

Supposing that both values are roots of a quadratic equation:

x-12 = 0 x -2 = 0

Multiplying both roots:

(x-12)(x-2) = 0

Applying the distributive property:

$x^2-2x-12x+12\cdot2=0$

Adding and multiplying like terms:

$x^2-14x+24=0\text{ \lbrack{}SOLUTION\rbrack}$