solvefor X,5X^2-4X=6

解答

X, 5 X^{2} - 4 X = 6

X = \frac{2 + 34}{5}, X = \frac{2 - 34}{5}

十进制

X = 1.56619 \dots, X = - 0.76619 \dots

求解步骤

5 X^{2} - 4 X = 6

将

6

para o lado esquerdo

5 X^{2} - 4 X - 6 = 0

使用求根公式求解

X_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

(- 4)^{2} - 4 \cdot 5 (- 6) = 234

X_{1, 2} = \frac{- ( - 4 ) \pm 2 34}{2 \cdot 5}

将解分隔开

X_{1} = \frac{- ( - 4 ) + 2 34}{2 \cdot 5}, X_{2} = \frac{- ( - 4 ) - 2 34}{2 \cdot 5}

X = \frac{- ( - 4 ) + 2 34}{2 \cdot 5} : \frac{2 + 34}{5}

X = \frac{- ( - 4 ) - 2 34}{2 \cdot 5} : \frac{2 - 34}{5}

二次方程组的解是:

X = \frac{2 + 34}{5}, X = \frac{2 - 34}{5}

so l v e f or x, ∣ x + 5 ∣ = ∣ x - 3 ∣

3 \frac{3}{6}

s im pl i f y \frac{( 90 )}{( 2 )}

s im pl i f y \frac{100}{16}

q u a d r a t i c f or m u l a x^{2} - x - 3 = 0