Question

Which of the following are solutions to the equation 4x² + 32x + 60 = 0?

1) -10 and -6
2) -6 and 10
3) -10 and 6
4) 6 and 10

Answer 1

-3,-5

Step-by-step explanation:

___________________

Answer 2

The solutions to the equation 4x² + 32x + 60 = 0 are x = -4 and x = -6.

Step-by-step explanation:

The given equation is 4x² + 32x + 60 = 0. To find the solutions, we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a). Here, a = 4, b = 32, and c = 60. Plugging these values into the formula, we get: x = (-32 ± √(32² - 4(4)(60))) / (2(4)). Simplifying further, we get x = (-32 ± √(1024 -960)) / 8. Finally, evaluating the square root and simplifying, we get the solutions: x = (-32 ± √64) / 8. This gives us x = (-32 ± 8) / 8. Simplifying further, we have x = -4 or x = -6. Therefore, the solutions to the equation are x = -4 and x = -6. So, option 1) -10 and -6 contains the correct solutions.