Question

Find the values
of x for which the following
equation has equal roofs
(K-12)x+ 2 (K-12)x+2=0
​

Answer 1

Answer:

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10th

Maths

Quadratic Equations

Nature of Roots

Find k , so that (k - 12) x...

MATHS

Find k, so that (k−12)x

2

+2(k−12)x+2=0 has equal roots, where k



=12

EASY

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ANSWER

ForequalrootsD=0

[2(k−12)]

2

−4.(k−12).2=0

$$\\4(k-12)^2-4(k-12)\times\2=0$$

k

2

−24k+144−2k+24=0

ork

2

−26k+168=0

k

2

−14k−12k+168=0

k(k−14)−12(k−14)=0

(k−12)(k−14)=0

∴k=12or14

∴k=14(ask



=12giveninquestion)

Answer 2

Answer:

for equal roots, b2-4ac=0

here,

a=k-12,

b=2(k-12),

c=2

b2-4ac=0

{2(k-12)}2 - 4(k-12)(2)=0

4(k-12)2-8(k-12)=0

4(k-12)(k-12-2)=0

(k-12)(k-14)=0

k=12,14