Explanation Given: The expression is 2 y = 1 y + 5 2 . Formula used: Consider the quadratic equation a x 2 + b x + c = 0 . Write the expression for roots of the quadratic equation. x = − b ± b 2 − 4 a c 2 a Here, a , and b are the coefficient of x 2 and x respectively. Also, c represents the constant term. Calculation: The expression is 2 y = 1 y + 5 2 . Simplify the expression in standard form. 2 y = 1 y + 5 2 2 y = 2 + 5 ⋅ y 2 y 2 y ⋅ 2 y = 2 + 5 y 4 y 2 = 2 + 5 y Further, solve. 4 y 2 − 5 y − 2 = 0 Now, refer the expression for roots of the quadratic equation. The expression in standard form is 4 y 2 − 5 y − 2 = 0

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Chapter 8.2, Problem 24E

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To calculate: The roots for the equation 2y=1y+52 and simplify the answer.

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Chapter 8.2, Problem 23E

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The roots for the equation 2 y = 1 y + 5 2 and simplify the answer.

Solution Summary: The author explains how to calculate the roots of the quadratic equation 2y=1y+c52 and simplify the answer.

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