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Verdich [7]
2 years ago
13

The square to solve the quadratic equation x^2-15x+2=0

Mathematics
1 answer:
Yuki888 [10]2 years ago
4 0

The roots of the equation x^{2}-15x +2 =0 are 14.865 and 0.135

<h3>What is completing the square method?</h3>

Completing the square method is one of the methods to find the roots of the given quadratic equation.

Given equation is:

x^{2}-15x +2 =0

Using Completing the Square method we have

x^{2}-15x +2 + (\frac{15}{2})^{2} - (\frac{15}{2})^{2} =0

Now,

x^{2}-15x + (\frac{15}{2})^{2} - (\frac{15}{2})^{2} +2=0

or, [x-(\frac{15}{2})]^{2} - 225/4 +2 =0

 

or,  [x-(\frac{15}{2})]^{2} -217*4 =0

or,  [x-(\frac{15}{2})]^{2} = 217/4

or,  x = \pm \frac{14.73}{2}  + \frac{15}{2}

or, x_1= 14.865, x_2= 0.135

Thus, the roots of the quadratic equation are: 14.865 and 0.135

Learn more completing square method here:

brainly.com/question/8631373

#SPJ1

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