Solve 2-5x x - ScanMath

Question

Simplify the expression

2 - 5 x^{2}

Evaluate

2 - 5 x \times x

Solution

2 - 5 x^{2}

Show Solution

x_{1} = - \frac{10}{5}, x_{2} = \frac{10}{5}

Alternative Form

x_{1} \approx - 0.632456, x_{2} \approx 0.632456

Evaluate

2 - 5 x \times x

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

2 - 5 x \times x = 0

Multiply the terms

2 - 5 x^{2} = 0

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

- 5 x^{2} = 0 - 2

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

- 5 x^{2} = - 2

Change the signs on both sides of the equation

5 x^{2} = 2

Divide both sides

\frac{5 x ^{2}}{5} = \frac{2}{5}

Divide the numbers

x^{2} = \frac{2}{5}

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

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

Simplify the expression

More Steps

Evaluate

\frac{2}{5}

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

\frac{2}{5}

Multiply by the Conjugate

\frac{2 \times 5}{5 \times 5}

Multiply the numbers

More Steps

Evaluate

2 \times 5

The product of roots with the same index is equal to the root of the product

2 \times 5

Calculate the product

10

\frac{10}{5 \times 5}

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

\frac{10}{5}

x = \pm \frac{10}{5}

Separate the equation into 2 possible cases

x = \frac{10}{5} x = - \frac{10}{5}

Solution

x_{1} = - \frac{10}{5}, x_{2} = \frac{10}{5}

Alternative Form

x_{1} \approx - 0.632456, x_{2} \approx 0.632456

Show Solution