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2 years ago

Solve the equation 2x2 + 2x + 12 = 3x2 – x + 2. A. x = 2, x = –5 B. x = 2, x = 5 C. x = –5, x = –2 D. x = –2, x = 5

Mathematics

1 answer:

Lena [83]2 years ago

3 0

2x2−2x−12=0

Use the quadratic formula to find the solutions.

−b±√b2−4(ac)2a

Substitute the values a=2

, b=−2, and c=−12 into the quadratic formula and solve for x

2±√(−2)2−4⋅(2⋅−12)2⋅2

Simplify.

Tap for more steps...

x=1±52

The final answer is the combination of both solutions.

x=3,−2

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Step-by-step explanation:

In order to solve this system of equations, we first have to take the first equation and use it to represent "y" in terms of "x". We do that in the following way...

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Now, we need to take the second equation and substitute "y" for the equivalent value in terms of "x". After doing this we will get the following equation, which we can solve to get the value of "x".

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