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2 years ago

Factor this trinomial: 5x^2-12x+4 Please show all work I'll give Brainliest

Mathematics

2 answers:

Usimov [2.4K]2 years ago

8 0

Answer:

(x - 2)(5x - 2)

Step-by-step explanation:

5x² - 12x + 4

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 4 = 20 and sum = - 12

the factors are - 10 and - 2

use these factors to split the x- term

5x² - 10x - 2x + 4 ( factor the first/second and third/fourth terms )

= 5x(x - 2) - 2(x - 2) ← factor out (x - 2) from each term

= (x - 2)(5x - 2) ← in factored form

Vinvika [58]2 years ago

7 0

Answer:

x = 2

x = 2/5

Step-by-step explanation:

multiply 5 and 4

5* 4 = 20

what 2 numbers added make -12 and multiplied make 20 at the same time?

-10 and -2 do this

5 ( x - 10/5) (x - 2/5) = 0

simplify

5 ( x - 2) ( x - 2/5) = 0

(5( x - 2) ( x - 2/5))/5 = 0/5

( x - 2) ( x - 2/5) = 0

x = 2 x = 2/5

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Solve the system<br> 4x + 2y = 10<br> x = y + 13

Maslowich

Answer:

$x = 6$

$y = -7$

Step-by-step explanation:

We have the system of equations:

$4x+2y=10\\x=y+13$

Let's solve by substituting. We know that $x=y+13$ , so we can substitute $y+13$ in as $x$ in the equation $4x+2y=10$ .

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Simplify this down so that we have $y$ on one side of the equation:

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Now that we know the value of $y$ , we can substitute it in to the equation $x = y+13$ to find $x$ .

$x = -7+13\\\\x = 6$

Hope this helped!

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