Solve -x^2 19-80 - ScanMath

Question

Simplify the expression

- 19 x^{2} - 80

Evaluate

- x^{2} \times 19 - 80

Solution

- 19 x^{2} - 80

Show Solution

x_{1} = - \frac{4 95}{19} i, x_{2} = \frac{4 95}{19} i

Alternative Form

x_{1} \approx - 2.051957 i, x_{2} \approx 2.051957 i

Evaluate

- x^{2} \times 19 - 80

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

- x^{2} \times 19 - 80 = 0

Use the commutative property to reorder the terms

- 19 x^{2} - 80 = 0

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

- 19 x^{2} = 0 + 80

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

- 19 x^{2} = 80

Change the signs on both sides of the equation

19 x^{2} = - 80

Divide both sides

\frac{19 x ^{2}}{19} = \frac{- 80}{19}

Divide the numbers

x^{2} = \frac{- 80}{19}

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

x^{2} = - \frac{80}{19}

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

x = \pm - \frac{80}{19}

Simplify the expression

More Steps

Evaluate

- \frac{80}{19}

Evaluate the power

\frac{80}{19} \times - 1

Evaluate the power

\frac{80}{19} \times i

Evaluate the power

More Steps

Evaluate

\frac{80}{19}

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

\frac{80}{19}

Simplify the radical expression

\frac{4 5}{19}

Multiply by the Conjugate

\frac{4 5 \times 19}{19 \times 19}

Multiply the numbers

\frac{4 95}{19 \times 19}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{4 95}{19}

\frac{4 95}{19} i

x = \pm \frac{4 95}{19} i

Separate the equation into 2 possible cases

x = \frac{4 95}{19} i x = - \frac{4 95}{19} i

Solution

x_{1} = - \frac{4 95}{19} i, x_{2} = \frac{4 95}{19} i

Alternative Form

x_{1} \approx - 2.051957 i, x_{2} \approx 2.051957 i

Show Solution