Question

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

a2 − 28a + 192 = 0

Answer 1

here is your solution for the question

Answer 2

a = 16 or a = 12

Explanation:

Given quadratic equation,

`a^2-28a+192=0`

Step 1 : Move constant term to the right side,

`a^2-28a=-192`

Step 2 : Add the square of the half of the coefficient of x on the both sides,

`a^2-28a+196=-192+196`

`a^2-28a+196=4`

Step 3 : Plug the terms in the left side into the quadratic formula,

`(a-14)^2=4`

Step 4 : Taking log both sides,

`a-14=\pm 2`

Step 5 : Isolate the variable,

`a=14\pm 2`

Hence, the solution of the given equation is,

a = 14 + 2 or a = 14 - 2

a = 16 or a = 12