Solve q^2-6q-10=3

Evaluate

q^{2} - 6 q - 10 = 3

Move the expression to the left side

q^{2} - 6 q - 13 = 0

Substitute a= 1,b= - 6 and c= - 13 into the quadratic formula q = \frac{- b \pm b ^{2} - 4 a c}{2 a}

q = \frac{6 \pm ( - 6 ) ^{2} - 4 ( - 13 )}{2}

Simplify the expression

More Steps

q = \frac{6 \pm 88}{2}

Simplify the radical expression

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q = \frac{6 \pm 2 22}{2}

Separate the equation into 2 possible cases

q = \frac{6 + 2 22}{2} q = \frac{6 - 2 22}{2}

Simplify the expression

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q = 3 + 22 q = \frac{6 - 2 22}{2}

Simplify the expression

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q = 3 + 22 q = 3 - 22

Solution

q_{1} = 3 - 22, q_{2} = 3 + 22

Alternative Form

q_{1} \approx - 1.690416, q_{2} \approx 7.690416

Solve the quadratic equation