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Solvex2-50=0

Short Answer

Expert verified

The solutions arex=±52.

Step by step solution

01

Given Information    

The Given equation isx2-50=0.

02

Isolate the quadratic term and makes its coefficient one.    

x2=50

03

 Use the square root property.    

x=±50

Factor the radicand.

x=±2×5×5x=±52

04

Check the solutions.  

Substitute x=52.

x2-50=0522-50=?050-50=?00=0True

Substitute x=-52.

x2-50=0-522-50=?050-50=?00=0True

Thus, the solutions arex=±52.

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