Two equations I and II are given below in the question You have to solve these equations and give th...........

Qunatitative Aptitude (RBI Ast) Quadratic Equations

Two equations I and II are given below in the question. You have to solve these equations and give the answer.

I. 9x² – 15x + 4 = 0

II. 7y² + 18y + 8 = 0

This questions was previously asked in

RBI Assistant (18 Nov, 2023 Shift 1)

x < y

x > y

x ≤ y

x ≥ y

x = y or the relation between x and y can't be established.

To solve the equations and compare the values of x and y, here's what you need to do:

- Equation I: 9x² – 15x + 4 = 0

- This is a quadratic equation of the form ax² + bx + c = 0.

- To find x, use the quadratic formula: x = [-b ± v(b²-4ac)] / 2a.

- Substituting a = 9, b = -15, c = 4, we get the roots x1 = 1 and x2 = 4/9.

- Equation II: 7y² + 18y + 8 = 0

- Similarly, apply the quadratic formula: y = [-b ± v(b²-4ac)] / 2a.

- Substituting a = 7, b = 18, c = 8, we get the roots y1 = -2 and y2 = -4/7.

- Comparison:

- x1 (1) is greater than both y1 (-2) and y2 (-4/7).

- x2 (4/9) is greater than both y1 (-2) and y2 (-4/7).

- Conclusion: x > y in all cases.

- Correct Answer:

- Option 2: x > y

Submit Error