Solve Using the Quadratic Formula x^2+10x+25=0

Problem

x2+10*x+25=0

Solution

1. Identify the coefficients a b and c from the quadratic equation in the form a*x2+b*x+c=0

a=1

b=10

c=25

2. State the quadratic formula used to find the roots of the equation.

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the identified values into the quadratic formula.

x=(−10±√(,10−4*(1)*(25)))/(2*(1))

4. Simplify the expression inside the square root, which is the discriminant.

x=(−10±√(,100−100))/2

x=(−10±√(,0))/2

5. Solve for x by simplifying the remaining fraction.

x=(−10±0)/2

x=−5

Final Answer

x2+10*x+25=0⇒x=−5

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