A garden has dimensions 2x+3 ft by x+6 ft. If the garden is 95 ft^2, then what are the dimensions. Solve by factoring
+14915 A garden has dimensions 2x+3 ft by x+6 ft. If the garden is 95 ft^2, then what are the dimensions. Solve by factoring.
Hello Guest!
\((2x+3)\cdot (x+6)=95\\ 2x^2+12x+3x+18-95=0\\ 2x^2+15x-77=0\)
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
\(x = {-15 \pm \sqrt{15^2+4\cdot 2\cdot 77} \over 2\cdot 2}\\ x=\frac{-15\pm 29}{4}\)
\(x_1=3.5\\ x_2\ not\ applicable\)
The dimensiones are \(10ft\times 9.5ft\)
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