Question

-16t^2+100t+316=0
Solve the quadratic equation. Round to the nearest tenth.

Answer 1

quadratic formula normally normally applies in such cases

Answer 2

-2.3, 8.6 to the nearest tenth.

Explanation:

-16t^2+100t+316=0

Simplify it first.

Divide by -4:

4t^2 - 25t - 79 = 0

Using the quadratic formula:

x = [-(-25) +/- √(-25)^2 - 4*4*-79) ] / 8

= (25 +/- √(1889)) / 8

= 3.125 +/- 43.463/8

= 3.125 +/- 5.433

= -2.308, 8.558