Question

Does anyone know how to solve quadratic equations? Brainliest please: 6x^2 - 37x + 45

Answer 1

Answer:

x₁ = 1.66667

x₂ = 4.5

Explanation:

6x² - 37x + 45 = 0

x = {-(-37)±√((-37)²-(4*6*45))} / (2*6)

x = {37±√(1369-1080)} / 12

x = {37±√289} / 12

x = {37±17} /12

x₁ = {37-17} / 12 = 20/12 = 1.6667

x₂ = {37+17} / 12 = 54/12 = 4.5

Comprobación:

x₁

6*(1.6667)² - 37*1.66667 + 45 = 0

6*2.77778 - 61.66667 + 45 = 0

16.666667 - 61.66667 + 45= 0

x₂

6*4.5² - 37*4.5 + 45 = 0

6*20.25 - 166.5 + 45 = 0

121.5 - 166.5 + 45 = 0