Q9 of 293 Page 460

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

√2x2 + 7x + 5√2 = 0

Given:

Comparing with standard quadratic equation ax2 + bx + c = 0



Discriminant D = b2 – 4ac



= 49 – 40 = 9 > 0


Hence the roots of equation are real.


Roots are given by





Hence the roots of equation are


More from this chapter

All 293 →
7

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

15x2 – 28 = x

 8

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

2x2 – 2√2x + 1 = 0

 10

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

√3x2 + 10x – 8√3 = 0

 11

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

√3x2 – 2√2x –2√3 = 0