Solve =2+0.6-2.67E^2/2=0

$$= 2 + 0.6 - \frac { 2.67 E ^ { 2 } } { 2 } = 0$$

Solve for E

$$E = \frac{2 \sqrt{34710}}{267} \approx 1.395552057$$

$$E = -\frac{2 \sqrt{34710}}{267} \approx -1.395552057$$

Steps by Finding Square Root

Multiply both sides of the equation by 2.

$$4+1.2-2.67E^{2}=0$$

Add 4 and 1.2 to get 5.2.

$$5.2-2.67E^{2}=0$$

Subtract 5.2 from both sides. Anything subtracted from zero gives its negation.

$$-2.67E^{2}=-5.2$$

Divide both sides by -2.67.

$$E^{2}=\frac{-5.2}{-2.67}$$

Expand \frac{-5.2}{-2.67} by multiplying both numerator and the denominator by 100.

$$E^{2}=\frac{-520}{-267}$$

Fraction \frac{-520}{-267} can be simplified to \frac{520}{267} by removing the negative sign from both the numerator and the denominator.

$$E^{2}=\frac{520}{267}$$

Take the square root of both sides of the equation.

$$E=\frac{2\sqrt{34710}}{267} E=-\frac{2\sqrt{34710}}{267}$$

Steps Using the Quadratic Formula

Multiply both sides of the equation by 2.

$$4+1.2-2.67E^{2}=0$$

Add 4 and 1.2 to get 5.2.

$$5.2-2.67E^{2}=0$$

Quadratic equations like this one, with an x^{2} term but no x term, can still be solved using the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, once they are put in standard form: ax^{2}+bx+c=0.

$$-2.67E^{2}+5.2=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute -2.67 for a, 0 for b, and 5.2 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$E=\frac{0±\sqrt{0^{2}-4\left(-2.67\right)\times 5.2}}{2\left(-2.67\right)}$$

Square 0.

$$E=\frac{0±\sqrt{-4\left(-2.67\right)\times 5.2}}{2\left(-2.67\right)}$$

Multiply -4 times -2.67.

$$E=\frac{0±\sqrt{10.68\times 5.2}}{2\left(-2.67\right)}$$

Multiply 10.68 times 5.2 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$E=\frac{0±\sqrt{55.536}}{2\left(-2.67\right)}$$

Take the square root of 55.536.

$$E=\frac{0±\frac{\sqrt{34710}}{25}}{2\left(-2.67\right)}$$

Multiply 2 times -2.67.

$$E=\frac{0±\frac{\sqrt{34710}}{25}}{-5.34}$$

Now solve the equation E=\frac{0±\frac{\sqrt{34710}}{25}}{-5.34} when ± is plus.

$$E=-\frac{2\sqrt{34710}}{267}$$

Now solve the equation E=\frac{0±\frac{\sqrt{34710}}{25}}{-5.34} when ± is minus.

$$E=\frac{2\sqrt{34710}}{267}$$

The equation is now solved.

$$E=-\frac{2\sqrt{34710}}{267} E=\frac{2\sqrt{34710}}{267}$$