Solve 4x^2-32x-2 - Socratic AI (ScanMath)

Câu hỏi

Factor the expression

2 (2 x^{2} - 16 x - 1)

Hiển thị giải pháp

x_{1} = \frac{8 - 66}{2}, x_{2} = \frac{8 + 66}{2}

Alternative Form

x_{1} \approx - 0.062019, x_{2} \approx 8.062019

Evaluate

4 x^{2} - 32 x - 2

To find the roots of the expression,set the expression equal to 0

4 x^{2} - 32 x - 2 = 0

Substitute a= 4,b= - 32 and c= - 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{32 \pm ( - 32 ) ^{2} - 4 \times 4 ( - 2 )}{2 \times 4}

Simplify the expression

x = \frac{32 \pm ( - 32 ) ^{2} - 4 \times 4 ( - 2 )}{8}

Simplify the expression

Thêm Bước

x = \frac{32 \pm 1056}{8}

Simplify the radical expression

Thêm Bước

x = \frac{32 \pm 4 66}{8}

Separate the equation into 2 possible cases

x = \frac{32 + 4 66}{8} x = \frac{32 - 4 66}{8}

Simplify the expression

Thêm Bước

x = \frac{8 + 66}{2} x = \frac{32 - 4 66}{8}

Simplify the expression

Thêm Bước

x = \frac{8 + 66}{2} x = \frac{8 - 66}{2}

Giải pháp

x_{1} = \frac{8 - 66}{2}, x_{2} = \frac{8 + 66}{2}

Alternative Form

x_{1} \approx - 0.062019, x_{2} \approx 8.062019

Hiển thị giải pháp