Solve 2(x-4)^(2)=26

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = 4 - 13, x_{2} = 4 + 13

Alternative Form

x_{1} \approx 0.394449, x_{2} \approx 7.605551

Evaluate

2 (x - 4)^{2} = 26

Expand the expression

More Steps

2 x^{2} - 16 x + 32 = 26

Move the expression to the left side

2 x^{2} - 16 x + 6 = 0

Substitute a= 2,b= - 16 and c= 6 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 2 \times 6}{2 \times 2}

Simplify the expression

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 2 \times 6}{4}

Simplify the expression

More Steps

x = \frac{16 \pm 208}{4}

Simplify the radical expression

More Steps

x = \frac{16 \pm 4 13}{4}

Separate the equation into 2 possible cases

x = \frac{16 + 4 13}{4} x = \frac{16 - 4 13}{4}

Simplify the expression

More Steps

x = 4 + 13 x = \frac{16 - 4 13}{4}

Simplify the expression

More Steps

x = 4 + 13 x = 4 - 13

Solution

x_{1} = 4 - 13, x_{2} = 4 + 13

Alternative Form

x_{1} \approx 0.394449, x_{2} \approx 7.605551

Show Solution