(x-2)(x-4)=(x-1)^((5))

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on Apr 10, 2025 at 2:20 am



You asked:

Solve the equation (x−2)(x−4)=(x−1)5\left(x - 2\right) \left(x - 4\right) = {\left( x - 1 \right)}^{5} for the variable xx.

MathBot Answer:

The 5 solutions to the equation are: x≈1.8246663x=−0.13683583908606−1.11943467042092i≈−0.13683584−1.1194347ix=−0.13683583908606+1.11943467042092i≈−0.13683584+1.1194347ix=1.72450268454622−0.950895969215533i≈1.7245027−0.95089597ix=1.72450268454622+0.950895969215533i≈1.7245027+0.95089597i\begin{aligned}x &\approx 1.8246663\\x &= -0.13683583908606 - 1.11943467042092 i \approx -0.13683584 -1.1194347 i\\x &= -0.13683583908606 + 1.11943467042092 i \approx -0.13683584 + 1.1194347 i\\x &= 1.72450268454622 - 0.950895969215533 i \approx 1.7245027 -0.95089597 i\\x &= 1.72450268454622 + 0.950895969215533 i \approx 1.7245027 + 0.95089597 i\end{aligned}

Solutions were approximated using numerical methods.

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