Solve Using the Quadratic Formula x^2+7x+10=0

Problem

x2+7*x+10=0

Solution

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

a=1

b=7

c=10

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

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−7±√(,7−4*(1)*(10)))/(2*(1))

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

x=(−7±√(,49−40))/2

x=(−7±√(,9))/2

5. Evaluate the square root and solve for both possible values of x

x=(−7±3)/2

6. Calculate the first solution using the plus sign.

x=(−7+3)/2

x=(−4)/2

x=−2

7. Calculate the second solution using the minus sign.

x=(−7−3)/2

x=(−10)/2

x=−5

Final Answer

x=−2,−5

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