x ≈ −2.41 and x ≈ 2.91
x ≈ −2.91 and x ≈ 2.41
x ≈ −5.82 and x ≈ 4.82
No real solutions
4 Answers

2x² + x = 14
Factor out through completing the square.
2x²/2 + x/2 = 14/2
x² + 1/2x = 7
x² + 1/2x + 1/16 = 7 + 1/16
(x + 1/4)² = 113/16
x + 1/4 = ±(√113) / 4
x ~ −2.91;
x ~ 2.41
How I got 1/16 > ((1/2x)/2)² = (1/4)² = 1/16

2x² + x =14
x² + ½ x + 1/16 = 7 + 1/16
(x + ¼)² = 113/16
x + ¼ = ±(√113) / 4
x = .25 ± 2.66
x ≈ −2.91 and x ≈ 2.41

2x^2+x=14
=>2x^2+x14=0
=> x=[1±√(1^24*2*(14))]/2*2
x ~ 2.91 & 2.41

2x^2 + x = 14
2x^2 + x – 14 = 0
x = (1 +/ sqrt(1^2 – 4(2)(14))) / (2*1)
x = (1 +/ sqrt(1 + 112)) / (2*1)
x = (1 +/ sqrt(113)) / 2
x = 0.5 +/ sqrt(28.25)
x =~ 4.82 or 5.82
The last answer is correct.