Question

How do you simplify t^2-3t-6=0?

Answer 1

Use the quadratic formula to find the solutions.

\[t=\frac{ -b \pm \sqrt{b^2 -4ac} }{ 2a }\]

Substitute the values a=1, b=-3, and c=-6 into the quadratic fomula and solve x.

\[t=\frac{ -(-3) \pm \sqrt{(-3)^2-4(1)(-6)} }{ 2(1) }\]

Remove and parentheses to simplify.

Answer:
\[t=\frac{ 3\pm \sqrt{33} }{ 2 }\]

t=4.37, -1.37

Answer 2

thank you so much!