Question

A baseball is thrown in the air from center field to home plate. The path of the baseball is represented by the equation p(x)=−7x2+52x+99. How long will it take for the ball to get to home plate?

Tell me what steps went wrong as I solved this problem. Explain how to fix it.

Problem:

P(x) = -7x2 +52x+99

Step 1: -7x2 +52x+99 = 0

Step 2: a = -7 b = 52 c = 99





Step 3: −52±(52)2−4(−7)(99)√2(−7)


Step 4: −52±5476√14


Step 5:−52±7414


Step 6: x = 117 x = - 9

Answer: 117 seconds

Answer 1

steps 3 went wrong

Explanation:

the quadratic is

(-b +/- √ ( b^2 - 4ac) )/2a

-52 + √( 2704 +2772) /-14

-52 +74) / -14 = -22/14 = -11/7

-52 -74 / -14 = -126/-14 = 9