x is a negative number such that k + k-1 = -2, then what is the value of $$\frac{{{k^2} + 4k - 2}}{{{k^2} + k - 5}}?$$
A. 7
B. 1
C. -7
D. -1
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & k + \frac{1}{k} = 2 \cr & k = - 1 \cr & \frac{{{k^2} + 4k - 2}}{{{k^2} + k - 5}} \cr & = \frac{{{{\left( { - 1} \right)}^2} + 4\left( { - 1} \right) - 2}}{{{{\left( { - 1} \right)}^2} + \left( { - 1} \right) - 5}} \cr & = \frac{{1 - 4 - 2}}{{1 - 1 - 5}} \cr & = \frac{{ - 5}}{{ - 5}} \cr & = 1 \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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