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

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{13 - 181}{6}, x_{2} = \frac{13 + 181}{6}

Alternative Form

x_{1} \approx - 0.075604, x_{2} \approx 4.408937

Evaluate

26 x = 2 \times 3 x^{2} - 2

Multiply the numbers

26 x = 6 x^{2} - 2

Swap the sides

6 x^{2} - 2 = 26 x

Move the expression to the left side

6 x^{2} - 2 - 26 x = 0

Rewrite in standard form

6 x^{2} - 26 x - 2 = 0

Substitute a= 6,b= - 26 and c= - 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

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

Simplify the expression

x = \frac{26 \pm ( - 26 ) ^{2} - 4 \times 6 ( - 2 )}{12}

Simplify the expression

More Steps

x = \frac{26 \pm 724}{12}

Simplify the radical expression

More Steps

x = \frac{26 \pm 2 181}{12}

Separate the equation into 2 possible cases

x = \frac{26 + 2 181}{12} x = \frac{26 - 2 181}{12}

Simplify the expression

More Steps

x = \frac{13 + 181}{6} x = \frac{26 - 2 181}{12}

Simplify the expression

More Steps

x = \frac{13 + 181}{6} x = \frac{13 - 181}{6}

Solution

x_{1} = \frac{13 - 181}{6}, x_{2} = \frac{13 + 181}{6}

Alternative Form

x_{1} \approx - 0.075604, x_{2} \approx 4.408937

Show Solution