Solve 6x^2-7 - ScanMath

Evaluate

6 x^{2} - 7

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

6 x^{2} - 7 = 0

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

6 x^{2} = 0 + 7

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

6 x^{2} = 7

Divide both sides

\frac{6 x ^{2}}{6} = \frac{7}{6}

Divide the numbers

x^{2} = \frac{7}{6}

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

x = \pm \frac{7}{6}

Simplify the expression

More Steps

x = \pm \frac{42}{6}

Separate the equation into 2 possible cases

x = \frac{42}{6} x = - \frac{42}{6}

Solution

x_{1} = - \frac{42}{6}, x_{2} = \frac{42}{6}

Alternative Form

x_{1} \approx - 1.080123, x_{2} \approx 1.080123

Find the roots