Solve x^2-10x=-14

Evaluate

x^{2} - 10 x = - 14

Move the expression to the left side

x^{2} - 10 x + 14 = 0

Substitute a= 1,b= - 10 and c= 14 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{10 \pm ( - 10 ) ^{2} - 4 \times 14}{2}

Simplify the expression

More Steps

x = \frac{10 \pm 44}{2}

Simplify the radical expression

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x = \frac{10 \pm 2 11}{2}

Separate the equation into 2 possible cases

x = \frac{10 + 2 11}{2} x = \frac{10 - 2 11}{2}

Simplify the expression

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x = 5 + 11 x = \frac{10 - 2 11}{2}

Simplify the expression

More Steps

x = 5 + 11 x = 5 - 11

Solution

x_{1} = 5 - 11, x_{2} = 5 + 11

Alternative Form

x_{1} \approx 1.683375, x_{2} \approx 8.316625

Solve the quadratic equation