Solve (7+7)^2+(x-3)^2=49

$$( 7 + 7 ) ^ { 2 } + ( x - 3 ) ^ { 2 } = 49$$

Solve for x (complex solution)

$$x=-7\sqrt{3}i+3\approx 3-12.124355653i$$

$$x=3+7\sqrt{3}i\approx 3+12.124355653i$$

Steps by Finding Square Root

Subtracting 196 from itself leaves 0.

$$\left(x-3\right)^{2}=49-196$$

Subtract 196 from 49.

$$\left(x-3\right)^{2}=-147$$

Take the square root of both sides of the equation.

$$x-3=7\sqrt{3}i x-3=-7\sqrt{3}i$$

Add 3 to both sides of the equation.

$$x-3-\left(-3\right)=7\sqrt{3}i-\left(-3\right) x-3-\left(-3\right)=-7\sqrt{3}i-\left(-3\right)$$

Subtracting -3 from itself leaves 0.

$$x=7\sqrt{3}i-\left(-3\right) x=-7\sqrt{3}i-\left(-3\right)$$

Subtract -3 from 7i\sqrt{3}.

$$x=3+7\sqrt{3}i$$

Subtract -3 from -7i\sqrt{3}.

$$x=-7\sqrt{3}i+3$$

The equation is now solved.

$$x=3+7\sqrt{3}i x=-7\sqrt{3}i+3$$