Solve frac{-1+sqrt{1^2-4*6*-15}}{2*6}

$$\frac{ -1+ \sqrt{ { 1 }^{ 2 } -4 \times 6 \times -15 } }{ 2 \times 6 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$\frac{-1+\sqrt{1-4\times 6\left(-15\right)}}{2\times 6}$$

Multiply 4 and 6 to get 24.

$$\frac{-1+\sqrt{1-24\left(-15\right)}}{2\times 6}$$

Multiply 24 and -15 to get -360.

$$\frac{-1+\sqrt{1-\left(-360\right)}}{2\times 6}$$

The opposite of -360 is 360.

$$\frac{-1+\sqrt{1+360}}{2\times 6}$$

Add 1 and 360 to get 361.

$$\frac{-1+\sqrt{361}}{2\times 6}$$

Calculate the square root of 361 and get 19.

$$\frac{-1+19}{2\times 6}$$

Add -1 and 19 to get 18.

$$\frac{18}{2\times 6}$$

Multiply 2 and 6 to get 12.

$$\frac{18}{12}$$

Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$