Solve 2 x -1*3 - x x

Evaluate

2 x - 1 \times 3 - x \times x

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

2 x - 1 \times 3 - x \times x = 0

Any expression multiplied by 1 remains the same

2 x - 3 - x \times x = 0

Multiply the terms

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

Rewrite in standard form

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

Multiply both sides

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

Substitute a= 1,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 3}{2}

Simplify the expression

More Steps

x = \frac{2 \pm - 8}{2}

Simplify the radical expression

More Steps

x = \frac{2 \pm 2 2 \times i}{2}

Separate the equation into 2 possible cases

x = \frac{2 + 2 2 \times i}{2} x = \frac{2 - 2 2 \times i}{2}

Simplify the expression

More Steps

x = 1 + 2 \times i x = \frac{2 - 2 2 \times i}{2}

Simplify the expression

More Steps

x = 1 + 2 \times i x = 1 - 2 \times i

Solution

x_{1} = 1 - 2 \times i, x_{2} = 1 + 2 \times i

Alternative Form

x_{1} \approx 1 - 1.414214 i, x_{2} \approx 1 + 1.414214 i

Simplify the expression