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Question

Question: The number of solutions of \(a \neq 0\)....

The number of solutions of a0a \neq 0.

A

3

B

1

C

2

D

0

Answer

1

Explanation

Solution

p+qxr+q+rxp\frac{p + q - x}{r} + \frac{q + r - x}{p} r+pxq\frac{r + p - x}{q}

4xp+q+r=0\frac{4x}{p + q + r} = 0 x=p+q+rx = p + q + r

x=pq+rx = p - q + r2 but x=p+qq+rx = \frac{p + q}{q + r} when x=pq+rx = \frac{p}{q} + r

x25x+6=0x^{2} - 5|x| + 6 = 0only solution is (m2+1)x2+2amx+a2b2=0(m^{2} + 1)x^{2} + 2amx + a^{2} - b^{2} = 0

a2+b2(m2+1)=0a^{2} + b^{2}(m^{2} + 1) = 0Hence number of solution is one.