Solve -4x1x-35 - ScanMath

Question

Simplify the expression

- 4 x^{2} - 35

Evaluate

- 4 x \times 1 \times x - 35

Solution

More Steps

Evaluate

- 4 x \times 1 \times x

Rewrite the expression

- 4 x \times x

Multiply the terms

- 4 x^{2}

- 4 x^{2} - 35

Show Solution

x_{1} = - \frac{35}{2} i, x_{2} = \frac{35}{2} i

Alternative Form

x_{1} \approx - 2.95804 i, x_{2} \approx 2.95804 i

Evaluate

- 4 x \times 1 \times x - 35

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

- 4 x \times 1 \times x - 35 = 0

Multiply the terms

More Steps

Multiply the terms

- 4 x \times 1 \times x

Rewrite the expression

- 4 x \times x

Multiply the terms

- 4 x^{2}

- 4 x^{2} - 35 = 0

Move the constant to the right-hand side and change its sign

- 4 x^{2} = 0 + 35

Removing 0 doesn't change the value,so remove it from the expression

- 4 x^{2} = 35

Change the signs on both sides of the equation

4 x^{2} = - 35

Divide both sides

\frac{4 x ^{2}}{4} = \frac{- 35}{4}

Divide the numbers

x^{2} = \frac{- 35}{4}

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

x^{2} = - \frac{35}{4}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm - \frac{35}{4}

Simplify the expression

More Steps

Evaluate

- \frac{35}{4}

Evaluate the power

\frac{35}{4} \times - 1

Evaluate the power

\frac{35}{4} \times i

Evaluate the power

More Steps

Evaluate

\frac{35}{4}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{35}{4}

Simplify the radical expression

\frac{35}{2}

\frac{35}{2} i

x = \pm \frac{35}{2} i

Separate the equation into 2 possible cases

x = \frac{35}{2} i x = - \frac{35}{2} i

Solution

x_{1} = - \frac{35}{2} i, x_{2} = \frac{35}{2} i

Alternative Form

x_{1} \approx - 2.95804 i, x_{2} \approx 2.95804 i

Show Solution