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2 years ago

Factoring , a² +4a - 5

Mathematics

1 answer:

givi [52]2 years ago

6 0

the factors of the term $a^2+4a-5$ are $(a-1)(a+5)$

Step-by-step explanation:

We need to find factors of the term: $a^2+4a-5$

For finding factors:

We need to break the middle term such that their product is equal to product of first and last term and their sum is equal to middle term

Breaking the middle term and finding factors:

$a^2+4a-5$

$=a^2+5a-a-5$

$=a(a+5)-1(a+5)$

$=(a-1)(a+5)$

So, the factors of the term $a^2+4a-5$ are $(a-1)(a+5)$

Keywords: Finding factors

Learn more about finding factors at:

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Answer:

The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

Step-by-step explanation:

Given equations are $-2x+3y=-9\hfill (1)$

$x+y=2\hfill (2)$

To solve given equations by using elimination method :

Mutliply the equation (2) into 2 we get

$2x+2y=4\hfill (3)$

Now adding the equations (1) and (3)

$-2x+3y=-9$

$2x+2y=4$

_______________

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$y-\frac{5}{5}$

Therefore y=-1

Now substitute the value of y=-1 in the equation (1) we get

-2x+3(-1)=-9

-2x-3=-9

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$=-\frac{-6}{-2}$

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The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

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2 years ago

Which of the following are solutions to 2x^2-8x-90? select all that apply.

Lyrx [107]

<span>Simplifying:
2x2 + -8x + -90 = 0

Reorder the terms:
-90 + -8x + 2x2 = 0

Solving
-90 + -8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -4x + x2) = 0

Factor a trinomial.
2((-5 + -1x)(9 + -1x)) = 0

Ignore the factor 2.
Subproblem 1:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms:
-5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5

Combine like terms:
0 + 5 = 5 -1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2:

Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms:
9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9

Combine like terms:
0 + -9 = -9 -1x = -9

Divide each side by '-1'.
x = 9

Simplifying x = 9

Solution
x = {-5, 9}</span>

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