Solve Using the Quadratic Formula x^2+4x-10=0

Problem

x2+4*x−10=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=4

c=−10

2. Apply the formula for the quadratic equation, which is x=(−b±√(,b2−4*a*c))/(2*a)

x=(−4±√(,4−4*(1)*(−10)))/(2*(1))

3. Simplify the expression inside the square root (the discriminant).

x=(−4±√(,16+40))/2

x=(−4±√(,56))/2

4. Factor the square root by finding the largest perfect square divisor of 56

x=(−4±√(,4⋅14))/2

x=(−4±2√(,14))/2

5. Divide each term in the numerator by the denominator to find the final values of x

x=−2±√(,14)

Final Answer

x=−2±√(,14)

Want more problems? Check here!