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Solve the equation by using the Quadratic formula. Round to the nearest tenth if necessary.

x28x=20

Short Answer

Expert verified

Thesolutions of the quadratic equations are 10 and-2.

Step by step solution

01

Step 1. Understand the concept used.

If ax2+bx+c=0, with a0, then x=b±b24ac2a. Solving using factoring can be done by splitting the middle term of the equation and then making groups and equating them to zero.

02

Step 2. Substitute the values. 

It is given that x28x=20.Using the quadratic formula x=b±b24ac2a, substitute 1 for a,-8 for b and -20for c.

Put the values in the formula and get x=8±824×1×2021.

03

Step 3. Write the solutions.

Simplify the expression for x.

x=8±824×1×2021

=8±64+802=8±1442=8±122

Therefore, either

x=8+122

=202=10

or,

x=8122

=42=2

that is., eitherx=10 or x=2.

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