Solve x^2+5x+7=3x+11

Evaluate

x^{2} + 5 x + 7 = 3 x + 11

Move the expression to the left side

x^{2} + 2 x - 4 = 0

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

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

Simplify the expression

More Steps

x = \frac{- 2 \pm 20}{2}

Simplify the radical expression

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x = \frac{- 2 \pm 2 5}{2}

Separate the equation into 2 possible cases

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

Simplify the expression

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x = - 1 + 5 x = \frac{- 2 - 2 5}{2}

Simplify the expression

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x = - 1 + 5 x = - 1 - 5

Solution

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

Alternative Form

x_{1} \approx - 3.236068, x_{2} \approx 1.236068

Solve the quadratic equation