Solve 26x - (3x^2) = 30

Evaluate

26 x - 3 x^{2} = 30

Move the expression to the left side

26 x - 3 x^{2} - 30 = 0

Rewrite in standard form

- 3 x^{2} + 26 x - 30 = 0

Multiply both sides

3 x^{2} - 26 x + 30 = 0

Substitute a= 3,b= - 26 and c= 30 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{26 \pm ( - 26 ) ^{2} - 4 \times 3 \times 30}{2 \times 3}

Simplify the expression

x = \frac{26 \pm ( - 26 ) ^{2} - 4 \times 3 \times 30}{6}

Simplify the expression

More Steps

x = \frac{26 \pm 316}{6}

Simplify the radical expression

More Steps

x = \frac{26 \pm 2 79}{6}

Separate the equation into 2 possible cases

x = \frac{26 + 2 79}{6} x = \frac{26 - 2 79}{6}

Simplify the expression

More Steps

x = \frac{13 + 79}{3} x = \frac{26 - 2 79}{6}

Simplify the expression

More Steps

x = \frac{13 + 79}{3} x = \frac{13 - 79}{3}

Solution

x_{1} = \frac{13 - 79}{3}, x_{2} = \frac{13 + 79}{3}

Alternative Form

x_{1} \approx 1.370602, x_{2} \approx 7.296065

Solve the quadratic equation