Solve x^2*2-2x-3 - ScanMath

Question

Simplify the expression

2 x^{2} - 2 x - 3

Show Solution

x_{1} = \frac{1 - 7}{2}, x_{2} = \frac{1 + 7}{2}

Alternative Form

x_{1} \approx - 0.822876, x_{2} \approx 1.822876

Evaluate

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

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

x^{2} \times 2 - 2 x - 3 = 0

Use the commutative property to reorder the terms

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

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

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

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{2 \pm 28}{4}

Simplify the radical expression

More Steps

x = \frac{2 \pm 2 7}{4}

Separate the equation into 2 possible cases

x = \frac{2 + 2 7}{4} x = \frac{2 - 2 7}{4}

Simplify the expression

More Steps

x = \frac{1 + 7}{2} x = \frac{2 - 2 7}{4}

Simplify the expression

More Steps

x = \frac{1 + 7}{2} x = \frac{1 - 7}{2}

Solution

x_{1} = \frac{1 - 7}{2}, x_{2} = \frac{1 + 7}{2}

Alternative Form

x_{1} \approx - 0.822876, x_{2} \approx 1.822876

Show Solution