Solve 1x^2001517-7

Question

Simplify the expression

1517 x^{2} - 7

Evaluate

1 \times x^{2} \times 1517 - 7

Solution

More Steps

Evaluate

1 \times x^{2} \times 1517

Rewrite the expression

x^{2} \times 1517

Use the commutative property to reorder the terms

1517 x^{2}

1517 x^{2} - 7

Show Solution

x_{1} = - \frac{10619}{1517}, x_{2} = \frac{10619}{1517}

Alternative Form

x_{1} \approx - 0.067929, x_{2} \approx 0.067929

Evaluate

1 \times x^{2} \times 1517 - 7

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

1 \times x^{2} \times 1517 - 7 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times x^{2} \times 1517

Rewrite the expression

x^{2} \times 1517

Use the commutative property to reorder the terms

1517 x^{2}

1517 x^{2} - 7 = 0

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

1517 x^{2} = 0 + 7

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

1517 x^{2} = 7

Divide both sides

\frac{1517 x ^{2}}{1517} = \frac{7}{1517}

Divide the numbers

x^{2} = \frac{7}{1517}

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

x = \pm \frac{7}{1517}

Simplify the expression

More Steps

Evaluate

\frac{7}{1517}

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

\frac{7}{1517}

Multiply by the Conjugate

\frac{7 \times 1517}{1517 \times 1517}

Multiply the numbers

More Steps

Evaluate

7 \times 1517

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

7 \times 1517

Calculate the product

10619

\frac{10619}{1517 \times 1517}

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

\frac{10619}{1517}

x = \pm \frac{10619}{1517}

Separate the equation into 2 possible cases

x = \frac{10619}{1517} x = - \frac{10619}{1517}

Solution

x_{1} = - \frac{10619}{1517}, x_{2} = \frac{10619}{1517}

Alternative Form

x_{1} \approx - 0.067929, x_{2} \approx 0.067929

Show Solution