The area 3

The area of a rectangle is given by the expression 4x2 + 5x -6. What is the length of the rectangle if its width is x+2?

Correct answer:

l = 4x-3

Step-by-step explanation:

S=4x2+5x6 w=x+2=2  S=w l 4x2+5x6=(x+2) l  4x2+5x6=0  4x2+5x6=0  a=4;b=5;c=6 D=b24ac=5244(6)=121 D>0  x1,2=2ab±D=85±121 x1,2=85±11 x1,2=0.625±1.375 x1=0.75 x2=2   Factored form of the equation:  4(x0.75)(x+2)=0  l=4(x0.75)  l=4x3

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