In the equation x2 +10x + 24 = ( x + a) ( x + b), b is an integer. Find algebraically all possible values of b.

1 answer:

kramer3 years ago

8 0

Multiply
(x+a)(x+b) = x^2 + bx + ax + ab
looking at; x^2 + 10x + 24
can you see that

ab = 24
bx + ax = 10x
then
a + b = 10

use substitution: a = 10 - b

(10-b)b = 24
10b - b^2 = 24
-b^2 + 10b -24 = 0
now find the values for b using the quadratic equation. I'm on my phone so you'll have to plug the numbers in. let me know if you have any questions.

You might be interested in

Pls help me and pls explain how u got answer

nignag [31]

Answer:

q+4 + d-3 + n ; first

Step-by-step explanation:

first :q quarter d dimes n nickels

then: q+4 quarter d dimes n nickels

then: q+4 quarter d-3 dimes n nickels

so you have q+4 + d-3 + n

first is the only option that has division the other involve subtraction

6 0

2 years ago

Read 2 more answers

Awesome autos car detail charges $30 for a full service detail on SUVs. The equation 30x+45y=450 represents the amount that must

Zina [86]

Answer:

x intercept = 15 # of cars to detail if no SUVs

y intercept = 10 # of SUVs to detail if no cars

Hope this helps!

8 0

3 years ago

Write 0.4 as a fraction.

Vinil7 [7]

0.4 is closest to 40/99

6 0

3 years ago

Read 2 more answers

Absolute Values Inequalitties<br><br>I x I + 3 > 4

Aneli [31]

$| x | + 3 > 4\\
|x|>1\\
x>1 \vee x$

8 0

2 years ago

In the expression 5y+4x2 what is the coefficient

MariettaO [177]

Answer:heyya

Step-by-step explanation:

<h3>coefficient means the number before the variables...the coefficient of y is 5..i dont know whether that is X or multiplication sign..if it is the variable X raise to the power 2 then the coefficient of X raise to the power 2 is 4..</h3><h3>hope it helps</h3>

8 0

2 years ago