#Help with solving for x

26 messages · Page 1 of 1 (latest)

granite wagonBOT
analog knot
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Well the area is base times height, so if the area is 75, we just have to set base*height=75

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In this case, can you tell me the base and height of the rectangle?

quiet phoenix
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2x+3 is the base

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3x-3 is the height

analog knot
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Good job, now we just have to plug those int9 the equation

quiet phoenix
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So (2x+3)(3x-3)=75

analog knot
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Yep

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Now just solve for x

quiet phoenix
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Therefore 6x^2+3x-9=75

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6x^2+3x-84=0

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Now do I simplify it

analog knot
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Since this is a quadratic equation, you can solve it in a lot of ways

quiet phoenix
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To 2x^2+x-28=0

quiet phoenix
analog knot
quiet phoenix
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Complete square

analog knot
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Ok go ahead and do that for me, I'll check your answer

quiet phoenix
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Okay

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Ohhh

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I solved it also

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3.5 and -4

analog knot
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yep, good job. thats what i got

quiet phoenix
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Ty for ur help ❤️