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

117 seconds