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n200080 [17]
3 years ago
15

N/6=N+7/8 Solve for N

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Step 1: Simplify both sides of the equation.

\frac{1}{6}n=n+\frac{7}{8}

Step 2: Subtract n from both sides.

\frac{1}{6}n−n=n+\frac{7}{8}−n

\frac{-5}{6}n=\frac{7}{8}

Step 3: Multiply both sides by \frac{6}{-5}.

(\frac{6}{-5})*(\frac{-5}{6}n)=(\frac{6}{-5})*(\frac{7}{8})

n=\frac{-21}{20}

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As we need to determine the value of k that will give <u>one solution</u>, set the <u>discriminant to zero</u>.

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\begin{aligned}b^2-4ac & = 0\\\implies (-4)^2-4(k)(4) & = 0\\16-16k & = 0\\16k & = 16\\\implies k & = 1\end{aligned}

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