Answer:
x₁ = (1 + √43)/6
x₂ = (1 - √43)/6
Step-by-step explanation:
6x² - 2x = 7
6x² - 2x - 7 = 0
Formula
ax² + bx + c = 0
a = 6 ; b = - 2 ; c = - 7
x₁/₂ = [-b ± √(b²- 4ac)]/2a
x₁/₂ = (2 ± √4 + 4×6×-7)/12
x₁/₂ = (2 ± √172)/12
x₁/₂ = (2 ± 2√43)/12
x₁/₂ = 2(1 ± √43)/12
x₁/₂ = (1 ± √43)/6
x₁ = (1 + √43)/6
x₂ = (1 - √43)/6
