Solve 1-x 1-x^2 - ScanMath

Evaluate

1 - x \times 1 - x^{2}

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

1 - x \times 1 - x^{2} = 0

Any expression multiplied by 1 remains the same

1 - x - x^{2} = 0

Rewrite in standard form

- x^{2} - x + 1 = 0

Multiply both sides

x^{2} + x - 1 = 0

Substitute a= 1,b= 1 and c= - 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 1 \pm 1 ^{2} - 4 ( - 1 )}{2}

Simplify the expression

More Steps

x = \frac{- 1 \pm 5}{2}

Separate the equation into 2 possible cases

x = \frac{- 1 + 5}{2} x = \frac{- 1 - 5}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 1 + 5}{2} x = - \frac{1 + 5}{2}

Solution

x_{1} = - \frac{1 + 5}{2}, x_{2} = \frac{- 1 + 5}{2}

Alternative Form

x_{1} \approx - 1.618034, x_{2} \approx 0.618034

Simplify the expression