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Solve the following system of equations. What is one x-value of a solution? f(x)=2x^(2)-3x-10 g(x)=x+20

a. x = -5

b. x = -3

c. x = 0

d. x = 3

User ChiCgi
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Answer: x = -3

Explanation did the test

User Starboy
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To solve the system of equations, we need to find the values of x that satisfy both equations f(x) = 2x^2 - 3x - 10 and g(x) = x + 20.

Setting the two equations equal to each other, we get:

2x^2 - 3x - 10 = x + 20

Simplifying and rearranging, we get:

2x^2 - 4x - 30 = 0

Dividing both sides by 2, we get:

x^2 - 2x - 15 = 0

Factoring the left-hand side, we get:

(x - 5)(x + 3) = 0

Therefore, the solutions to the system of equations are x = 5 and x = -3.

One x-value of a solution is x = -3. So the answer is (b) x = -3.
User Anil Verma
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