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What are the solutions of the quadratic equation?
2x2 – 16x + 32 = 0
To find the solutions of the quadratic equation 2x² - 16x + 32 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions can be found using the formula:
x = (-b ± √(b² - 4ac)) / (2a)
In the given equation, the coefficients are a = 2, b = -16, and c = 32. Substituting these values into the quadratic formula, we have:
x = (-(-16) ± √((-16)² - 4(2)(32))) / (2(2))
x = (16 ± √(256 - 256)) / 4
x = (16 ± √0) / 4
x = (16 ± 0) / 4
x = 16/4
x = 4
Therefore, the quadratic equation 2x² - 16x + 32 = 0 has a single solution, x = 4.