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Question
If an integer is added to its square, the sum is 90. Find the integer with the help of quadratic equation.
Solution
Let the integer be ‘x’
Given that if an integer is added to its square, the sum is 90.
⇒ 𝑥 + 𝑥2 = 90
⇒ 𝑥 + 𝑥2 − 90 = 0
⇒ 𝑥2 + 10𝑥 - 9𝑥 - 90 = 0
⇒ 𝑥(𝑥 + 10) - 9(𝑥 + 10) = 0
⇒ x = -10 or x = 9
∴ The value of an integer are -10 or 9.
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