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What are the solutions to 2x^2+7x=4? Select all that apply.
A. 1/2
B. 4
C. -1/2
D. -4
E. 7
F. -7

Respuesta :

Jellybeanas
2x2+7x=4Step 1: Subtract 4 from both sides.2x2+7x−4=4−42x2+7x−4=0Step 2: Factor left side of equation.(2x−1)(x+4)=0Step 3: Set factors equal to 0.2x−1=0 or x+4=0x=12 or x=−4Answer:x=12 or x=−4

[tex]\frac{1}{2}[/tex] and [tex]-4[/tex] are the correct the solutions to equation [tex]2x^{2} +7x=4[/tex]

What is solution to equation?

A solution to an equation is a number that can be plugged in for the variable to make a true number statement.

According to question, we have the following equation [tex]2x^{2} +7x=4[/tex]

We have to find the solutions.

Now,[tex]2x^{2} +7x=4[/tex]

⇒[tex]2x^{2} +7x-4=0[/tex]

⇒[tex](2x-1)(x+4)=0[/tex]

⇒[tex]x=\frac{1}{2} ,-4[/tex]

So,[tex]\frac{1}{2}[/tex] and [tex]-4[/tex] are the correct solutions to equation [tex]2x^{2} +7x=4[/tex]

Hence, Option(A) and Option(D) are correct.

Learn more about solution to an equation  here:

https://brainly.com/question/24153428?referrer=searchResults

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