We have that
4x²<span> – 24x+27=0
</span>
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² – 24x)=-27
Factor the leading coefficient
4*(x² – 6x)=-27
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>4*(x² – 6x+9)=-27+
36--------> missing piecesRewrite as perfect squares
4*(x-3)²=9
(x-3)²=9/4----> square root both sides----> (+/-)(x-3)=3/2----> missing pieces
+(x-3)=3/2------> x=(3/2)+3-----> x=9/2
-(x-3)=3/2-----> x=3-(3/2)-----> x=3/2
Answer:
Step-by-step explanation:
Convert 2y=-3x+2 into y=mx+b form
Y intercept is 1, slope is -3/2
Graph looks like this:
The question ask to convert the said fraction in to its simplest form, according the mathematical law of fraction, in converting the said fraction in to its simpler form, you must first get the Greatest Common Factor of the numerator and the denominator and base on that, the simplest form of it is -3/4. I hope this would help
