Answer:
The second one. (2x - 5)(3x + 1)
16 to 20 or in more simpler terms 4 to 5
Answer:
Step-by-step explanation:
- 10x² - 7ax + (a + 2) (a - 5) =
- 10x² - 7ax + a² - 3a - 10
Factorize by finding the roots
<u>Find the discriminant:</u>
- D = b² - 4ac
- D = (-7a)² - 4*10*(a² - 3a - 10) =
- 49a² - 40a² + 120a + 400 =
- 9a² + 120a + 400 =
- (3a + 20)²
<u>Find the roots:</u>
- x = (- b ± √D)/2a = (7a ± (3a + 20)) / 20
- x₁ = (7a + 3a + 20) / 20 = (10a + 20) / 20 = (a + 2) / 2
- x₂ = (7a - 3a - 20) / 20 = (4a - 20) / 20 = (a - 5) / 5
<u>Factorize the expression:</u>
- 10x² - 7ax + a² - 3a - 10 =
- 10 (x - x₁)(x - x₂) =
- 10[x - (a + 2)/2][[x - (a - 5)/5] =
- (2x - a - 2)(5x - a + 5)
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<u>You would also try a shorter but more difficult way:</u>
- 10x² - 7ax + (a + 2) (a - 5) =
- 2x*5x - 2ax + 10x - 5ax - 10x + (a + 2) (a - 5) =
- 2x*5x - 2x(a - 5) - 5x(a + 2) + (a + 2) (a - 5) =
- 2x(5x - (a - 5)) - (a + 2)(5x - (a - 5)) =
- (5x - a + 5)(2x - a - 2)
Answer:
(13/24)
Step-by-step explanation:
let’s find a common number that we can get on the denominator
4 can be multiplied to get 48
6 can be multiplied to get 48
and 8 can also be multiplied to get 48
4(12) = 48
so for the equation (1/4) the numerator and denominator will both be multiplied by 12
(1/4)x(12/12) = (12/48)
6(8)= 48
(1/6)x(8/8) = (8/48)
8(6) = 48
(1/8)x(6/6) = (6/48)
now the fractions are
(12/48)+(8/48)+(6/48)
we can add them now because they have the same denominator and we get:
(26/48)
this can be simplified if we divide both the numerator and denominator by 2 and we get
(13/24)
