Question

Mulțimea soluțiilor ecuației (2x-3)² =169
Urgent!!!!

Answer 1

(2x-3)²=169
2x-3=±13
2x-3=13
2x-3=-13
x=8
x=-5

Answer 2

(2x - 3)² = 169
(2x)² - 2 · 2x · 3 + 3² = 169 
4x² - 12x + 9 = 169 /-169
4x² - 12x - 160 = 0 

a = 4 
b = -12 
c = -160

Δ = b² - 4ac
Δ = (-12)² - 4 · 4 · (-160)
Δ = 144 + 2560
Δ = 2704

x₁ = $\frac{-b+ \sqrt{delta} }{2a}= \frac{-(-12)+ \sqrt{2704} }{2*4} = \frac{64}{8}=8$
x₂ = $\frac{-b- \sqrt{delta} }{2a} = \frac{-(-12)- \sqrt{2704} }{2*4}= \frac{12-52}{8}=-5$

/robertinni