Mathematics: Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. a2 − 28a + 192 = 0

-9if the number is 9 then -9 will cancel it out leaving it 0...

Use the quadratic formula to solve the equation.

Hooorax01

15.03.2022

a = 16 or a = 12

Step-by-step 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

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