Answer:
x₁ = 0.6
x₂ = 1.07
Step-by-step explanation:
36x² + 23 = 60x
36x² - 60x + 23 = 0
x = {-(-60)±√((-60²)-(4*36*23))} / (2*36)
x = {60±√(3600-3312)} / 72
x = {60±√288) / 72
x = {60±16.97) / 72
x₁ = {60-16.97} / 72 = 43.03/72 = 0.6 aprox.
x₂ = {60+16.97} / 72 = 76.97/72 = 1.07 aprox.
verify:
x₁
36*0.6² + 23 = 60*0.6
36*0.36 + 23 = 36
13 + 23 = 36
x₂
36*1.07² + 23 = 60*1.07
36*1.145 + 23 = 64.2
41.2 + 23 = 64.2
