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1 vote
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

2 Answers

2 votes

Answer:

-3,-5

Step-by-step explanation:

___________________

Which of the following are solutions to the equation 4x² + 32x + 60 = 0? 1) -10 and-example-1
User Baacke
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8.3k points
2 votes

Final answer:

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.

User Sagi
by
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