Solve x^2-22x+5=0

Evaluate

x^{2} - 22 x + 5 = 0

Substitute a= 1,b= - 22 and c= 5 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{22 \pm ( - 22 ) ^{2} - 4 \times 5}{2}

Simplify the expression

More Steps

x = \frac{22 \pm 464}{2}

Simplify the radical expression

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x = \frac{22 \pm 4 29}{2}

Separate the equation into 2 possible cases

x = \frac{22 + 4 29}{2} x = \frac{22 - 4 29}{2}

Simplify the expression

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x = 11 + 229 x = \frac{22 - 4 29}{2}

Simplify the expression

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x = 11 + 229 x = 11 - 229

Solution

x_{1} = 11 - 229, x_{2} = 11 + 229

Alternative Form

x_{1} \approx 0.22967, x_{2} \approx 21.77033

Solve the quadratic equation