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Solve the equation using quadratic formula.

r2+10r+25=0

Short Answer

Expert verified

The solution isr=-5.

Step by step solution

01

 Given Information.   

The given equation is r2+10r+25=0.

02

Write the quadratic equation in standard form and identify  a,b,c.

r2+10r+25=0

The quadratic equation is in standard form.

So,

a=1,b=10,c=25

03

Substitute the values in quadratic formula.   

r=-b±b2-4ac2ar=-10±(10)2-4(1)(25)2(1)r=-10±100-1002r=-10±02

The square root of zero is zero itself.

So,

r=-102r=-5

Thus, the root isr=-5.

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