Question

For 2x²+5=−x, choose the correct values of a, b, and c that you would substitute into the quadratic formula.

1.a=2, b=−1, c=5
2.a=2, b=1, c=5
3.a=2, b=5, c=1
4.a=2, b=5, c=−1

Answer 1

For the equation 2x² + 5 = -x, after rearranging it to 2x² + x + 5 = 0, the correct values to substitute into the quadratic formula are a=2, b=1, c=5, which corresponds to Option 2.

Step-by-step explanation:

To determine the values of a, b, and c that you would substitute into the quadratic formula for solving the equation 2x² + 5 = -x, you first need to rearrange the equation to have the form ax² + bx + c = 0. To do this, add x to both sides of the equation to obtain 2x² + x + 5 = 0. Now, by comparing with the standard form, we identify the coefficients necessary for the quadratic formula: a = 2, b = 1, and c = 5.

So, the correct values to substitute into the quadratic formula would be:

• a = 2
• b = 1
• c = 5

Option 2 is correct: a=2, b=1, c=5. These values are then placed into the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac)) / (2a)