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Solve the quadratic equation x²=5x+8

User Evizaer
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Final answer:

To solve the quadratic equation x² = 5x + 8, we can use the quadratic formula. The solutions for x are (5 + √57)/2 and (5 - √57)/2.

Step-by-step explanation:

To solve the quadratic equation x² = 5x + 8, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b²-4ac))/(2a)

In this case, a = 1, b = -5, and c = -8. Plugging these values into the formula, we get:

x = (-(-5) ± √((-5)²-4(1)(-8)))/(2(1))

Simplifying further:

x = (5 ± √(25+32))/2

x = (5 ± √57)/2

Therefore, the solutions for x are:

x = (5 + √57)/2

x = (5 - √57)/2

User BPizzi
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