Solve n^2-10n 19=-6

Evaluate

n^{2} - 10 n \times 19 = - 6

Multiply the terms

n^{2} - 190 n = - 6

Move the expression to the left side

n^{2} - 190 n + 6 = 0

Substitute a= 1,b= - 190 and c= 6 into the quadratic formula n = \frac{- b \pm b ^{2} - 4 a c}{2 a}

n = \frac{190 \pm ( - 190 ) ^{2} - 4 \times 6}{2}

Simplify the expression

More Steps

n = \frac{190 \pm 36076}{2}

Simplify the radical expression

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n = \frac{190 \pm 2 9019}{2}

Separate the equation into 2 possible cases

n = \frac{190 + 2 9019}{2} n = \frac{190 - 2 9019}{2}

Simplify the expression

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n = 95 + 9019 n = \frac{190 - 2 9019}{2}

Simplify the expression

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n = 95 + 9019 n = 95 - 9019

Solution

n_{1} = 95 - 9019, n_{2} = 95 + 9019

Alternative Form

n_{1} \approx 0.031584, n_{2} \approx 189.968416

Solve the quadratic equation