Question

Using the quadratic formula solve 49/2 - 1/4 x^2 =0

Answer 1

`\large\boxed{x=-7\sqrt2\ \vee\ x=7\sqrt2}`

Explanation:

This is not an example for using a quadratic formula.

`(49)/(2)-(1)/(4)x^2=0\qquad\text{subtract}\ (49)/(2)\ \text{from both sides}\\\\-(1)/(4)x^2=-(49)/(2)\qquad\text{multiply both sides by (-4)}\\\\x^2=(2)(49)\to x=\pm√((2)(49))\\\\x=\pm\sqrt2\cdot√(49)\\\\x=-7\sqrt2\ \vee\ x=7\sqrt2`