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If an integer is added to its square, the sum is 90. Find the integer with the help of quadratic equation.
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Let the integer be ‘x’
Given that if an integer is added to its square, the sum is 90.
⇒ ЁЭСе + ЁЭСе2 = 90
⇒ ЁЭСе + ЁЭСе2 − 90 = 0
⇒ ЁЭСе2 + 10ЁЭСе - 9ЁЭСе - 90 = 0
⇒ ЁЭСе(ЁЭСе + 10) - 9(ЁЭСе + 10) = 0
⇒ x = -10 or x = 9
∴ The value of an integer are -10 or 9.
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