Solve x 103x-10 - ScanMath

Question

Simplify the expression

103 x^{2} - 10

Evaluate

x \times 103 x - 10

Solution

More Steps

Evaluate

x \times 103 x

Multiply the terms

x^{2} \times 103

Use the commutative property to reorder the terms

103 x^{2}

103 x^{2} - 10

Show Solution

x_{1} = - \frac{1030}{103}, x_{2} = \frac{1030}{103}

Alternative Form

x_{1} \approx - 0.311588, x_{2} \approx 0.311588

Evaluate

x \times 103 x - 10

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

x \times 103 x - 10 = 0

Multiply

More Steps

Multiply the terms

x \times 103 x

Multiply the terms

x^{2} \times 103

Use the commutative property to reorder the terms

103 x^{2}

103 x^{2} - 10 = 0

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

103 x^{2} = 0 + 10

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

103 x^{2} = 10

Divide both sides

\frac{103 x ^{2}}{103} = \frac{10}{103}

Divide the numbers

x^{2} = \frac{10}{103}

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

x = \pm \frac{10}{103}

Simplify the expression

More Steps

Evaluate

\frac{10}{103}

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

\frac{10}{103}

Multiply by the Conjugate

\frac{10 \times 103}{103 \times 103}

Multiply the numbers

More Steps

Evaluate

10 \times 103

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

10 \times 103

Calculate the product

1030

\frac{1030}{103 \times 103}

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

\frac{1030}{103}

x = \pm \frac{1030}{103}

Separate the equation into 2 possible cases

x = \frac{1030}{103} x = - \frac{1030}{103}

Solution

x_{1} = - \frac{1030}{103}, x_{2} = \frac{1030}{103}

Alternative Form

x_{1} \approx - 0.311588, x_{2} \approx 0.311588

Show Solution