Solve k=frac{-(-6)sqrt{(-6)^2-4(7)(-1)}}{2(7)}

$$k = \frac { - ( - 6 ) \sqrt { ( - 6 ) ^ { 2 } - 4 ( 7 ) ( - 1 ) } } { 2 ( 7 ) }$$

Solve for k

$$k = \frac{24}{7} = 3\frac{3}{7} \approx 3.428571429$$

Steps for Solving Linear Equation

The opposite of -6 is 6.

$$k=\frac{6\sqrt{\left(-6\right)^{2}-4\times 7\left(-1\right)}}{2\times 7}$$

Calculate -6 to the power of 2 and get 36.

$$k=\frac{6\sqrt{36-4\times 7\left(-1\right)}}{2\times 7}$$

Multiply 4 and 7 to get 28.

$$k=\frac{6\sqrt{36-28\left(-1\right)}}{2\times 7}$$

Multiply 28 and -1 to get -28.

$$k=\frac{6\sqrt{36-\left(-28\right)}}{2\times 7}$$

The opposite of -28 is 28.

$$k=\frac{6\sqrt{36+28}}{2\times 7}$$

Add 36 and 28 to get 64.

$$k=\frac{6\sqrt{64}}{2\times 7}$$

Calculate the square root of 64 and get 8.

$$k=\frac{6\times 8}{2\times 7}$$

Multiply 6 and 8 to get 48.

$$k=\frac{48}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$k=\frac{48}{14}$$

Reduce the fraction \frac{48}{14} to lowest terms by extracting and canceling out 2.

$$k=\frac{24}{7}$$

Assign k

$$k≔\frac{24}{7}$$