Solve x=frac{6+sqrt{-6^2-4*1(-27)}}{2}

$$x = \frac{ 6+ \sqrt{ { -6 }^{ 2 } -4 \times 1(-27) } }{ 2 }$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

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

$$x=\frac{6+\sqrt{36-4\times 1\left(-27\right)}}{2}$$

Multiply 4 and 1 to get 4.

$$x=\frac{6+\sqrt{36-4\left(-27\right)}}{2}$$

Multiply 4 and -27 to get -108.

$$x=\frac{6+\sqrt{36-\left(-108\right)}}{2}$$

The opposite of -108 is 108.

$$x=\frac{6+\sqrt{36+108}}{2}$$

Add 36 and 108 to get 144.

$$x=\frac{6+\sqrt{144}}{2}$$

Calculate the square root of 144 and get 12.

$$x=\frac{6+12}{2}$$

Add 6 and 12 to get 18.

$$x=\frac{18}{2}$$

Divide 18 by 2 to get 9.

$$x=9$$

Assign x

$$x≔9$$