The solution of the equation x² = 8 - 5x is startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction
How to solve quadratic equation?
x² = 8 - 5x
x² + 5x - 8 = 0
Using quadratic formula
x = -b ± √b² - 4ac / 2a
= -5 ± √5² - 4(1)(-8) / 2(1)
= -5 ± √25 -(-32) / 2
= -5 ± √25 + 32 / 2
= -5 ± √57 / 2
= -5 + √57 /2 or -5 -√57/2
Therefore, the correct answer is; startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction
-5 - √57 / 2, -5 + √57 / 2
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