Solve x^2307-1 - ScanMath

Question

Simplify the expression

307 x^{2} - 1

Evaluate

x^{2} \times 307 - 1

Solution

307 x^{2} - 1

Show Solution

x_{1} = - \frac{307}{307}, x_{2} = \frac{307}{307}

Alternative Form

x_{1} \approx - 0.057073, x_{2} \approx 0.057073

Evaluate

x^{2} \times 307 - 1

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

x^{2} \times 307 - 1 = 0

Use the commutative property to reorder the terms

307 x^{2} - 1 = 0

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

307 x^{2} = 0 + 1

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

307 x^{2} = 1

Divide both sides

\frac{307 x ^{2}}{307} = \frac{1}{307}

Divide the numbers

x^{2} = \frac{1}{307}

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

x = \pm \frac{1}{307}

Simplify the expression

More Steps

Evaluate

\frac{1}{307}

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

\frac{1}{307}

Simplify the radical expression

\frac{1}{307}

Multiply by the Conjugate

\frac{307}{307 \times 307}

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

\frac{307}{307}

x = \pm \frac{307}{307}

Separate the equation into 2 possible cases

x = \frac{307}{307} x = - \frac{307}{307}

Solution

x_{1} = - \frac{307}{307}, x_{2} = \frac{307}{307}

Alternative Form

x_{1} \approx - 0.057073, x_{2} \approx 0.057073

Show Solution