Solve Using the Quadratic Formula x^2-8x+15=0

Problem

x2−8*x+15=0

Solution

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

a=1

b=−8

c=15

2. State the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values of a b and c into the formula.

x=(−(−8)±√(,(−8)2−4*(1)*(15)))/(2*(1))

4. Simplify the expression under the radical (the discriminant).

x=(8±√(,64−60))/2

x=(8±√(,4))/2

5. Evaluate the square root.

x=(8±2)/2

6. Solve for both possible values of x

x=(8+2)/2=10/2=5

x=(8−2)/2=6/2=3

Final Answer

x=5,3

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