Question 56
Below question contains two equations as I and II. You have to solve both equations and determine the relationship between them and choose correct option:
I. $$2x^{2} + 3x - 35 = 0$$
II. $$4y^{2} + 10y - 104 = 0$$
Solution
$$2x^{2} + 3x - 35 = 0$$
This can be written as
$$2x^2+10x-7x-35=0$$
$$2x\left(x+5\right)-7\left(x+5\right)=0$$
$$\left(2x-7\right)\left(x+5\right)=0$$
Thus, x = 7/2 or -5
Similarly, for $$4y^{2} + 10y - 104 = 0$$
This can be written as
$$4y^2-16y+26y-104=0$$
$$4y\left(y-4\right)+26\left(y-4\right)=0$$
y = 4 or -26/4
Therefore, x and y are unequal, and no relation can be established between them.
Get AI Help
Create a FREE account and get:
- Download Maths Shortcuts PDF
- Get 300+ previous papers with solutions PDF
- 500+ Online Tests for Free
