Which constant must be added and subtracted to solve the quadratic equation 9 x square + 3 by 4 x minus?
Answers
Answered by
1
Hi,
Given quadratic equation
9x^2 - 3x/4 - 2 = 0
( 3x )^2 - 2 × 3x x 1/8 - 2 = 0
(3x)^2-2 × (3x) x(1/8) + (1/8)^2 - (1/8)^2
= 2 -----------( 1 )
( 3x - 1/8 )^2 = 2 - ( 1/8 )^2
( 3x - 1/8 )^2 = 2 - 1/ 64
( 3x - 1/8 )^2 = (128 - 1)/ 64
( 3x - 1/8)^2 = 127/ 64
From ( 1 )
Here we added and
subtracted
(1/8)^2 = 1/ 64 to solve the
quadratic
equation by the completing square.
Option B is correct.
I hope this will useful to you.
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