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zzz [600]
4 years ago
6

I ONLY GOT ONE SHOT SO PLS HELP, IM STUPID! ANSWER IF YOU KNOW IT. OR AT LEAST TAKE A LOOK!!!!!!!! ( 2 QUESTIONS)

Mathematics
1 answer:
yan [13]4 years ago
5 0

Answer:

Part 1) The width of the pad is 1\ m

Part 2) The solutions are

x=\frac{5(+)\sqrt{97}} {4}  and x=\frac{5(-)\sqrt{97}} {4}

Step-by-step explanation:

Part 1)

Let

x----> the width of the pad

we know that

(15+2x)(18+2x)=340

Solve for x

270+30x+36x+4x^{2} =340\\ \\4x^{2}+66x-70=0

Solve the quadratic equation by graphing

The solution is x=1\ m

see the attached figure

Part 2) we have

2x^{2} -5x-9=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^{2} -5x-9=0  

so

a=2\\b=-5\\c=-9

substitute in the formula

x=\frac{5(+/-)\sqrt{-5^{2}-4(2)(-9)}} {2(2)}

x=\frac{5(+/-)\sqrt{97}} {4}

x=\frac{5(+)\sqrt{97}} {4}

x=\frac{5(-)\sqrt{97}} {4}

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