Solve root 3x^2+10x-8 root 3

Question

Simplify the expression

13 x - 83

Evaluate

(3 x)^{2} + 10 x - 83

Rewrite the expression

More Steps

Calculate

(3 x)^{2}

Rewrite the expression

3 x \times 3 x

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

3 x

3 x + 10 x - 83

Solution

More Steps

Evaluate

3 x + 10 x

Collect like terms by calculating the sum or difference of their coefficients

(3 + 10) x

Add the numbers

13 x

13 x - 83

Show Solution

x = \frac{8 3}{13}

Alternative Form

x \approx 1.065877

Evaluate

(3 x)^{2} + 10 x - 83

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

(3 x)^{2} + 10 x - 83 = 0

Find the domain

(3 x)^{2} + 10 x - 83 = 0, x \geq 0

Calculate

(3 x)^{2} + 10 x - 83 = 0

Add the terms

More Steps

Evaluate

(3 x)^{2} + 10 x

Rewrite the expression

More Steps

Calculate

(3 x)^{2}

Rewrite the expression

3 x \times 3 x

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

3 x

3 x + 10 x

Collect like terms by calculating the sum or difference of their coefficients

(3 + 10) x

Add the numbers

13 x

13 x - 83 = 0

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

13 x = 0 + 83

Add the terms

13 x = 83

Divide both sides

\frac{13 x}{13} = \frac{8 3}{13}

Divide the numbers

x = \frac{8 3}{13}

Check if the solution is in the defined range

x = \frac{8 3}{13}, x \geq 0

Solution

x = \frac{8 3}{13}

Alternative Form

x \approx 1.065877

Show Solution