Solution set of equation x^2-5x=0

Question

asked Dec 25, 2021 59.9k views

2 Answers

Nick Bondarenko · Answer 1 · 2021-12-29T08:43:30+0000

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

${x}^(2) - 5x = 0$

Factorise x

x(x - 5) = 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Hint :

a * b = 0

$a = 0 \: \: \: \: or \: \: \: \: b = 0$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ;

$x = 0 \: \: \: \: or \: \: \: \: x - 5 = 0$

So :

$x = 0 \: \: \: \: or \: \: \: \: x = 5$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

CHECK :

x = 0

${0}^(2) - 5(0) = 0$

0 - 0 = 0

0 = 0

The solution is correct.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

x = 5

${5}^(2) - 5(5) = 0$

25 - 25 = 0

0 = 0

The solution is correct.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️