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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. - Mathematics

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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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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.7 | Q: 5 | Page no. 51
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.7 | Q: 5 | Page no. 51
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Solution If an Integer is Added to Its Square, the Sum is 90. Find the Integer with the Help of Quadratic Equation. Concept: Solutions of Quadratic Equations by Factorization.
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