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4 years ago

What is the factoring quadratic expression for 125x^2-100x+20=0

2 answers:

8 0

$125x^2-100x+20=0\\\\5(25x^2-20x+4)=0\\\\5[(5x)^2-2\cdot5x\cdot2+2^2]=0\\\\5\cdot(5x-2)^2=0\\\\5(5x-2)(5x-2)=0\iff5x-2=0\\\\5x=2\ \ \ \ /:5\\\\x=0.4$

babymother [125]4 years ago

6 0

$125x^2-100x+20=0\ /:5\\\\25x^2-20x+4=0\ \ \ \Leftrightarrow\ \ \ (5x)^2-2\cdot5x\cdot2+2^2=0\\\\(5x-2)^2=0\ \ \ \Leftrightarrow\ \ \ 5x-2=0\ \ \ \Leftrightarrow\ \ \ 5x=2\ /:5\ \ \ \Leftrightarrow\ \ \ x=0.4$

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Solve –5√ x = –15. A. x = –7 B. x = –9 C. x = 7 D. x = 9

Pie

-5√x = -15
-5 -5
√x = 3
x = 9

The answer is D.

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3 years ago

Read 2 more answers

Write an equivalent expression for 25x - 45 using the properties of operations. Hint: find the GCF of 25 and 45. You use parenth

Oksana_A [137]

Answer:

25x - 45 = 5(5x - 9)

Step-by-step explanation:

Find the greatest common factor (GCF) of 25 and 45.

You can do this several ways, but one way is to list all the factors of both numbers and find the greatest common one:

Factors of 25: 1, 5, 25

Factors of 45: 1, 3, 5, 9, 15, 45

Therefore, 25 and 45 have 2 common factors: 1 and 5

So the greatest common factors is 5

25x - 45 = 5(ax - b)

To find the value of a, simply divide 25 by 5: 25 ÷ 5 = 5

To find the value of b, divide 45 by 5: 45 ÷ 5 = 9

25x - 45 = 5(5x - 9)

3 0

3 years ago

Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

ANSWER

$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
$f(x)$

is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

According to the remainder theorem,
$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

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3 years ago

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jeyben [28]

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