98sqrt(-2x^2+3x+5)+sqrt(2x^2-7x-15)=0

解答

98 - 2 x^{2} + 3 x + 5 + 2 x^{2} - 7 x - 15 = 0

x \in R 无解

求解步骤

98 - 2 x^{2} + 3 x + 5 + 2 x^{2} - 7 x - 15 = 0

去除平方根

- 19208 x^{2} + 28812 x + 48020 = 2 x^{2} - 7 x - 15

解

- 19208 x^{2} + 28812 x + 48020 = 2 x^{2} - 7 x - 15 : x = - \frac{- 28819 + 4521544161}{38420}, x = \frac{28819 + 4521544161}{38420}

x = - \frac{- 28819 + 4521544161}{38420}, x = \frac{28819 + 4521544161}{38420}

验证解:

x = - \frac{- 28819 + 4521544161}{38420}

假

, x = \frac{28819 + 4521544161}{38420}

假

解是

x \in R 无解

\frac{6 x ^{2}}{( 2 x + 1 + 1 ) ^{2}} = 2 x + x - 1 + 1

c = \frac{1}{( x ^{2} + x - 2 )}

2 x^{2} + 2 5 x - 5 = 0

(\frac{x - 1}{x})^{\frac{1}{2}} + (\frac{1 - 1}{x})^{\frac{1}{2}} = x

x + 1 + 2 x + 3 = 5