Solve frac{24-sqrt{24^2-4*12*9}}{2*12}

$$\frac{ 24- \sqrt{ { 24 }^{ 2 } -4 \cdot 12 \cdot 9 } }{ 2 \cdot 12 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Calculate 24 to the power of 2 and get 576.

$$\frac{24-\sqrt{576-4\times 12\times 9}}{2\times 12}$$

Multiply 4 and 12 to get 48.

$$\frac{24-\sqrt{576-48\times 9}}{2\times 12}$$

Multiply 48 and 9 to get 432.

$$\frac{24-\sqrt{576-432}}{2\times 12}$$

Subtract 432 from 576 to get 144.

$$\frac{24-\sqrt{144}}{2\times 12}$$

Calculate the square root of 144 and get 12.

$$\frac{24-12}{2\times 12}$$

Subtract 12 from 24 to get 12.

$$\frac{12}{2\times 12}$$

Multiply 2 and 12 to get 24.

$$\frac{12}{24}$$

Reduce the fraction \frac{12}{24} to lowest terms by extracting and canceling out 12.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$