Solve the following: a) 4x-3 = 2x + 7 b) 2x+6=7x14
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<span>Reading the solution, please, look on the picture)
Let the side of the square will be X meters. This means that S1=x^2 </span>meters ^2<span>
One side of </span>new rectangular garden will be 2x meters and another (x-3) meters. So S2=2x(x-3) meters ^2
According to the <span>data:
</span><span>S1*1.25=S2
</span>x^2*1.25=<span>2x(x-3)
</span>1.25*x^2=2x^2-6x
0.75x^2-6x=0
3x^2-24x=0
x^2-8x=0
x(x-8)=0
x=8 or x=0
But x>0!
So x = 8 meters
The next question is to find S2.
S2=2x(x-3)=2*8*5=80 meters ^ 2
Let the side of the square will be X meters. This means that S1=x^2 </span>meters ^2<span>
One side of </span>new rectangular garden will be 2x meters and another (x-3) meters. So S2=2x(x-3) meters ^2
According to the <span>data:
</span><span>S1*1.25=S2
</span>x^2*1.25=<span>2x(x-3)
</span>1.25*x^2=2x^2-6x
0.75x^2-6x=0
3x^2-24x=0
x^2-8x=0
x(x-8)=0
x=8 or x=0
But x>0!
So x = 8 meters
The next question is to find S2.
S2=2x(x-3)=2*8*5=80 meters ^ 2