Question

Find the roots of quadratic equations by factorisation:

(i) √2 x2 + 7x + 5√2=0

(ii) 100x2 – 20x + 1 = 0

Answer 1

Answer:

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

Answered