Question

factorise it and find roots
$25 {x}^{2} - 25x + 4 = 0$
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Answer 1

$\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆ }}}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-factorise it

$25 {x}^{2} - 25x + 4 = 0$

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

$➾</p><p>25 {x}^{2} - 25x + 4 = 0$

$➾</p><p>25 {x}^{2} - 20x - 5x + 4 = 0$

$➾</p><p>5x(5x - 4) - 1(5x - 4)$

$➾</p><p>(5x - 1)(5x - 4) = 0$

$➾</p><p>5 x - 1 = 0$

$➾</p><p>x = \frac{1}{5}$✓

$➾</p><p>5x - 4 = 0$

$➾</p><p>x = \frac{4}{5}$✓

HOPE IT HELPS YOU..

_____________________

Thankyou:)

Answer 2

Answer:

25x

2

−25x+4=0

➾ 25 {x}^{2} - 20x - 5x + 4 = 0➾25x

2

−20x−5x+4=0

➾ 5x(5x - 4) - 1(5x - 4)➾5x(5x−4)−1(5x−4)

➾ (5x - 1)(5x - 4) = 0➾(5x−1)(5x−4)=0

➾ 5 x - 1 = 0➾5x−1=0

➾ x = \frac{1}{5}➾x=

5

1

✓

➾ 5x - 4 = 0➾5x−4=0

➾ x = \frac{4}{5}➾x=

5

4

✓

HOPE IT HELPS YOU..