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
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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
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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
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2x^2+x=14
=>2x^2+x-14=0
=> x=[-1±√(1^2-4*2*(-14))]/2*2
x ~ -2.91 & 2.41
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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.
