Question

0 = -2x^2 - 7x -1 ..... Solve using the QUADRATIC formula, give answer in both RADICAL and DECIMAL form .

A. x=−7+ √53/-4 , x≈−1.22
B. x= 7+ √53/ -4 , x≈−0.28
C. Both a and b
D. None of the above

Answer 1

The equation 0 = -2x^2 - 7x -1 is solved using the quadratic formula with coefficients a=-2, b=-7, and c=-1. Both solutions are found, yielding x ≈ -1.35 and x ≈ 0.35, so the correct answer is D. None of the above.

Step-by-step explanation:

To solve the quadratic equation 0 = -2x^2 - 7x -1 using the quadratic formula, we first identify the coefficients: a = -2, b = -7, and c = -1. The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a). Substituting the coefficients we get:

x = (7 ± √((-7)² - 4(-2)(-1))) / (2(-2))
x = (7 ± √(49 - 8)) / (-4)
x = (7 ± √(41)) / (-4)

Both potential solutions will be:

• x = (-7 + √41) / -4
• x = (-7 - √41) / -4

In decimal form, the solutions are approximately x ≈ -1.35 and x ≈ 0.35.

Therefore, the correct answer is D. None of the above.