Question

9. Find the HCF of 100x²-1) and 15(x + 1/(2x+3)

Answer 1

Step-by-step explanation:

)

x

2

−3x−10=0

⇒x

2

−5x+2x−10=0

⇒x(x−5)+2(x−5)=0

⇒(x+2)(x−5)=0

⇒x=5,−2

ii)

2x

2

+x−6=0

⇒2x

2

+4x−3x−6=0

⇒2x(x+2)−3(x+2)=0

⇒(x+2)(2x−3)=0

⇒x=

2

3

,−2

iii)

2

x

2

+7x+5

2

=0

⇒

2

x

2

+2x+5x+5

2

=0

⇒

2

x(x+

2

)+5(x+

2

)=0

⇒(x+

2

)(

2

x+5)=0

⇒x=−

2

,

2

−5

iv)

2x

2

−x+

8

1

=0

⇒16x

2

−8x+1=0

⇒16x

2

−4x−4x+1=0

⇒16x(x−

4

1

)−4(x−

4

1

)=0

⇒(x−

4

1

)(16x−4)=0

⇒x=

4

1

,

4

1

v)

100x

2

−20x+1=0

⇒100x

2

−10x−10x+1=0

⇒10x(10x−1)−1(10x−1)=0

⇒(10x−1)(10x−1)=0

⇒x=

10

1

,

10

1