3 years ago

Factor the following perfect square trinomial

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

25x^2+10x+1

25x^2+5x+5x+1

5x(5x+1)+1(5x+1)

(5x+1)(5x+1)

(5x+1)^2

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Solve x= 12x + 15.<br> Do not include extraneous solutions.

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Answer:

$x = 12x + 15 \\ 12x - x = - 15 \\ \\ 11x = - 15 \\ x = - \frac{15}{11}$

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What's the area and perimeter

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3 years ago

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

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Length of rectangle is 1 unit

<u>Solution: </u>

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

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What names apply to 50

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Do u mean like other names for it

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