Solve 34-15x^2724:8

Question

Simplify the expression

\frac{68 - 2715 x ^{2}}{2}

Show Solution

x_{1} = - \frac{2 46155}{2715}, x_{2} = \frac{2 46155}{2715}

Alternative Form

x_{1} \approx - 0.158259, x_{2} \approx 0.158259

Evaluate

34 - 15 x^{2} \times 724 \div 8

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

34 - 15 x^{2} \times 724 \div 8 = 0

Multiply the terms

34 - 10860 x^{2} \div 8 = 0

Divide the terms

More Steps

34 - \frac{2715 x ^{2}}{2} = 0

Subtract the terms

More Steps

\frac{68 - 2715 x ^{2}}{2} = 0

Simplify

68 - 2715 x^{2} = 0

Rewrite the expression

- 2715 x^{2} = - 68

Change the signs on both sides of the equation

2715 x^{2} = 68

Divide both sides

\frac{2715 x ^{2}}{2715} = \frac{68}{2715}

Divide the numbers

x^{2} = \frac{68}{2715}

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

x = \pm \frac{68}{2715}

Simplify the expression

More Steps

x = \pm \frac{2 46155}{2715}

Separate the equation into 2 possible cases

x = \frac{2 46155}{2715} x = - \frac{2 46155}{2715}

Solution

x_{1} = - \frac{2 46155}{2715}, x_{2} = \frac{2 46155}{2715}

Alternative Form

x_{1} \approx - 0.158259, x_{2} \approx 0.158259

Show Solution