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受欢迎的代数 >

asqrt(x^2+d)+b=c

解答

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

解答

x = \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}, x = - \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}

求解步骤

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

将

b

到右边

a x^{2} + d = c - b

两边除以

a

x^{2} + d = \frac{c - b}{a}

两边进行平方:

x^{2} + d = \frac{c ^{2}}{a ^{2}} - \frac{2 b c}{a ^{2}} + \frac{b ^{2}}{a ^{2}}

x^{2} + d = \frac{c ^{2}}{a ^{2}} - \frac{2 b c}{a ^{2}} + \frac{b ^{2}}{a ^{2}}

解

x^{2} + d = \frac{c ^{2}}{a ^{2}} - \frac{2 b c}{a ^{2}} + \frac{b ^{2}}{a ^{2}} : x = \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}, x = - \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}

x = \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}, x = - \frac{- d a ^{2} + c ^{2} - 2 b c + b ^{2}}{a}

作图

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