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Solve -0.8x²+ 32x-160 = 0 quadratic equation?

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Final answer:

The quadratic equation -0.8x² + 32x - 160 = 0 can be solved using the quadratic formula, which yields two solutions: x = 10 and x = 20.

Step-by-step explanation:

To solve the quadratic equation -0.8x²+ 32x-160 = 0, we can use the quadratic formula. The quadratic formula is ± √(b²-4ac)/2a, where a, b, and c are the coefficients of the terms in the quadratic equation ax² + bx + c = 0. Applying the quadratic formula to this equation:

  • a = -0.8
  • b = 32
  • c = -160

We can substitute these values into the quadratic formula to find the values of x:

x = (-b ± √(b²-4ac))/(2a)

x = (-32 ± √(32²-4(-0.8)(-160)))/ (2(-0.8))

After simplifying, we find:

  • x = 10
  • x = 20

Therefore, the solutions to the quadratic equation -0.8x²+ 32x-160 = 0 are x = 10 and x = 20.

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