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2 years ago

Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply.

Mathematics

1 answer:

Law Incorporation [45]2 years ago

3 0

Answer:

x=4 x = -3/2

Step-by-step explanation:

4x^2 – 7x = 3x + 24

Subtract 3x from each side

4x^2 – 7x-3x = 3x-3x + 24

4x^2 – 10x = 24

Subtract 24 from each side

4x^2 – 10 -24 = 24- 24

4x^2 -10x-24=0

Divide each side by 2

4/2x^2 -10/2x-24/2=0

2x^2-5x-12=0

Factor

(x - 4) (2 x + 3) = 0

Using the zero product property

x-4 =0 2x+3 =0

x=4 2x = -3

x=4 x = -3/2

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