Question

Solve for x -

`\bold{x {}^(2) - 25 + 16 = 0}`

ty! ~​

Answer 1

Hey!

Your equation is -

`x {}^(2) - 25 + 16 = 0`

`x {}^(2) - 9 = 0`

We can write 9 as 3² (Why?) because it forms identity a² - b² = (a + b) (a - b) .

`x {}^(2) - {3}^(2) = 0`

`(x - 3)(x + 3) = 0`

This gives the information that either,

x - 3 = 0 or x + 3 = 0

So, x = 3 or x = -3

Hope it helps, you may ask if you have any confusions ^-^

Answer 2

x = 3, x = -3

Explanation:

x² - 25 + 16 = 0

⇒ x² - 9 = 0

• Add 9 to both sides:

⇒ x² = 9

• Square root both sides of equation:

x =
`√(9)`

x = ± 3

x = 3 and x = -3