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受欢迎的代数 >

7p^2=35p+168

解答

7 p^{2} = 35 p + 168

解答

p = 8, p = - 3

求解步骤

7 p^{2} = 35 p + 168

将

168

para o lado esquerdo

7 p^{2} - 168 = 35 p

将

35 p

para o lado esquerdo

7 p^{2} - 168 - 35 p = 0

改写成标准形式

a x^{2} + b x + c = 0

7 p^{2} - 35 p - 168 = 0

使用求根公式求解

p_{1, 2} = \frac{- ( - 35 ) \pm ( - 35 ) ^{2} - 4 \cdot 7 ( - 168 )}{2 \cdot 7}

(- 35)^{2} - 4 \cdot 7 (- 168) = 77

p_{1, 2} = \frac{- ( - 35 ) \pm 77}{2 \cdot 7}

将解分隔开

p_{1} = \frac{- ( - 35 ) + 77}{2 \cdot 7}, p_{2} = \frac{- ( - 35 ) - 77}{2 \cdot 7}

p = \frac{- ( - 35 ) + 77}{2 \cdot 7} : 8

p = \frac{- ( - 35 ) - 77}{2 \cdot 7} : - 3

二次方程组的解是:

p = 8, p = - 3

作图

流行的例子

4.905t^2-90.27t-150=0

4.905 t^{2} - 90.27 t - 150 = 0

4x^2+4sqrt(3)x+3=0

4 x^{2} + 43 x + 3 = 0

solvefor x,y=x^2+px+q

so l v e f or x, y = x^{2} + p x + q

solvefor x,f(a+1)=4x^2-x+5

so l v e f or x, f (a + 1) = 4 x^{2} - x + 5

(x-5)^2+x(x+3)=25

(x - 5)^{2} + x (x + 3) = 25