What are the solution(s) of the quadratic equation 98 – x2 = 0? x = x = x = no real solution
Answer:
Given the equation:
\(98-x^2 = 0\)
Subtract 98 from both sides we have;
\(-x^2 = -98\)
Multiply both sides by -1 we get;
\(x^2 = 98\)
Taking square root both sides we have;
\(x = \pm \sqrt{98}= \pm \sqrt{49 \cdot 2}\)
Simplify:
\(x = \pm 7\sqrt{2}\)
Therefore, the solutions of the quadratic equation are:
\(x = 7\sqrt{2}\) and \(x =-7\sqrt{2}\)