Solve (x-1)^(2) 8=24 - ScanMath

HOME CALCULATOR

DOWNLOAD FOR FREE

Algebra
Calculus
Trigonometry
Matrix

Type your math problem... (x-1)^(2) 8=24

Question

Solve the quadratic equation

Solve using the quadratic formula

solver-selected-icon

Solve by completing the square

Solve using the PQ formula

x_{1} = 1 - 3, x_{2} = 1 + 3

Alternative Form

x_{1} \approx - 0.732051, x_{2} \approx 2.732051

Evaluate

(x - 1)^{2} \times 8 = 24

Use the commutative property to reorder the terms

8 (x - 1)^{2} = 24

Expand the expression

More Steps

8 x^{2} - 16 x + 8 = 24

Move the expression to the left side

8 x^{2} - 16 x - 16 = 0

Substitute a= 8,b= - 16 and c= - 16 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 8 ( - 16 )}{2 \times 8}

Simplify the expression

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 8 ( - 16 )}{16}

Simplify the expression

More Steps

x = \frac{16 \pm 768}{16}

Simplify the radical expression

More Steps

x = \frac{16 \pm 16 3}{16}

Separate the equation into 2 possible cases

x = \frac{16 + 16 3}{16} x = \frac{16 - 16 3}{16}

Simplify the expression

More Steps

x = 1 + 3 x = \frac{16 - 16 3}{16}

Simplify the expression

More Steps

x = 1 + 3 x = 1 - 3

Solution

x_{1} = 1 - 3, x_{2} = 1 + 3

Alternative Form

x_{1} \approx - 0.732051, x_{2} \approx 2.732051

Show Solution

Graph

Graph