Solve 4b^2-7 - ScanMath

Evaluate

4 b^{2} - 7

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

4 b^{2} - 7 = 0

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

4 b^{2} = 0 + 7

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

4 b^{2} = 7

Divide both sides

\frac{4 b ^{2}}{4} = \frac{7}{4}

Divide the numbers

b^{2} = \frac{7}{4}

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

b = \pm \frac{7}{4}

Simplify the expression

More Steps

b = \pm \frac{7}{2}

Separate the equation into 2 possible cases

b = \frac{7}{2} b = - \frac{7}{2}

Solution

b_{1} = - \frac{7}{2}, b_{2} = \frac{7}{2}

Alternative Form

b_{1} \approx - 1.322876, b_{2} \approx 1.322876

Find the roots