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Iteru [2.4K]
3 years ago
7

The equation below has one solution 9X -10 equals 3X +2 what is the solution to the equation

Mathematics
1 answer:
djyliett [7]3 years ago
5 0

Answer:

X= 2

Step-by-step explanation:

9x-10

(9*2)-10

18-10

8

3x+2

(3*2)+2

6+2

8

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A rectangular playground is 10m longer than it is wide.The area of the playground is 1400m² Calculate the width and length of th
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Answer:

1400 = x(x+10)= x^2 +10x

We can rewrite this expression like this:

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And we can use the quadratic formula given by:

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And replacing we got:

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And solving we got:

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Step-by-step explanation:

For this case we know that we have a rectangular playground and the area can be founded with this formula:

A = xy

Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:

y = 10 +x

And replacing this formula into the area we got:

1400 = x(x+10)= x^2 +10x

We can rewrite this expression like this:

x^2 +10 x -1400 =0

And we can use the quadratic formula given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a =1 , b=10 , c= -1400

And replacing we got:

x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}

And solving we got:

x_1 =32.75 , x_2 = -42.75

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

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