Question

Solve for x -la1" title="\bold{x {}^{2} - 25 + 16 = 0}" alt="\bold{x {}^{2} - 25 + 16 = 0}" align="absmiddle" class="latex-formula">

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

Answer:

x = 3,   x = -3

Step-by-step explanation:

x² - 25 + 16 = 0

⇒ x² - 9 = 0

• Add 9 to both sides:

⇒ x² = 9

• Square root both sides of equation:

x = $\sqrt{9}$

x = ± 3

x = 3  and  x = -3