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Solve the equation by completing the square. Round to the nearest tenth.

x22x10=0

Short Answer

Expert verified

x=2.3,4.4are the solutions of the given equation.

Step by step solution

01

Step 1. Define the standard form of the quadratic equation.

A quadratic equation, which is written in the form, ax2+bx+c=0, where,a0 is called the standard form of the quadratic equation.

02

Step 2. Define the perfect square a−b2.

ab2=a22ab+b2           ...........1

03

Step 3. Solve the equation x2−2x−10=0 by completing the square.

Use (1) to solve the equation.

x22x10=0x22x110=0x22x1+1210=12x1210=1

x12=1+10x12=11x1=±11x=1±11x=111,  1+11

Use calculator.

x=2.31662479,4.3662479x2.3,4.4

Hence, x=2.3,4.4are the solutions of the given equation.

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