Sagot :
[tex]\\ \tt\Rrightarrow (1-y)(3-y)(6-y)=-70[/tex]
[tex]\\ \tt\Rrightarrow -y(1+1)(3+1)(6+1)=-70[/tex]
[tex]\\ \tt\Rrightarrow y(2)(4)(7)=70[/tex]
[tex]\\ \tt\Rrightarrow y(56)=70[/tex]
[tex]\\ \tt\Rrightarrow y=\dfrac{70}{56}[/tex]
[tex]\\ \tt\Rrightarrow y=\dfrac{5}{4}[/tex]
#2
[tex]\\ \tt\Rrightarrow (1-y)(3-y)(6-y)=120[/tex]
[tex]\\ \tt\Rrightarrow -y(1+1)(3+1)(6+1)=120[/tex]
[tex]\\ \tt\Rrightarrow -y(2)(4)(7)=120[/tex]
[tex]\\ \tt\Rrightarrow 56y=-120[/tex]
[tex]\\ \tt\Rrightarrow y=\dfrac{-120}{56}[/tex]
[tex]\\ \tt\Rrightarrow y=\dfrac{-15}{7}[/tex]
Answer:
- i. y = 8, ii. y = -2
Step-by-step explanation:
- (1 - y)(3 - y)(6 - y) = -70
We can see the divisors are 2 and 3 apart.
i.
Factorize -70 so that divisors are 2 and 3 apart:
- - 70 = (- 2)*(- 5)*(- 7)
The smallest one is 1 - y and -7:
- 1 - y = -7
- y = 1 + 7
- y = 8
ii
Factorize 120 so that divisors are 2 and 3 apart:
- 120 = 3*5*8
The smallest one is 1 - y and 3:
- 1 - y = 3
- y = 1 - 3
- y = -2