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3 years ago

Factorize (2x)x + 9x-5=0

Mathematics

1 answer:

erik [133]3 years ago

7 0

Answer:

(2x-1)(x+5)

Step-by-step explanation:

Given the equation (2x² + 9x-5=0, we are to factorize it

2x² + 9x-5=0

2x² + 10x-x-5=0

2x(x+5)-1(x+5) = 0

(2x-1)(x+5)

Hence the factorized form of the equation is (2x-1)(x+5) = 0

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Area of red band is $(20x + 100) inch^{2}$

Step-by-step explanation:

We know that area of square = $side^{2}$

Please refer to the attached figure, we have to calculate the area of red band.

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Side of purple square = $x$

So, area of purple square = $x^{2}$

ABCD is a square with purple square at the center and there is symmetry in the figure.

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$\Rightarrow (x+10-x)(x+10+x)\\\Rightarrow (10)(2x+10)\\\Rightarrow (20x+100)$

Hence, Area of red band is $(20x + 100) inch^{2}$

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