solve each of the following equations:2x2 + x + 1 = 0 from Math

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsShort Answer Type

21.

solve each of the following equations:

x2 + 3 = 0

121 Views

Advertisement

22.

solve each of the following equations:

2x2 + x + 1 = 0


Here,        D = b2 - 4ac = (1)2 - 4 (2) (1) = 1 - 8 = -7 < 0

Therefore, roots of given equation are imaginary and are given  by


   space space space space space space space space space space space space space space straight x space equals space fraction numerator negative space straight b space plus-or-minus space square root of straight D over denominator 2 straight a end fraction space equals space fraction numerator negative 1 plus-or-minus square root of negative 7 end root over denominator 2 left parenthesis 2 right parenthesis end fraction


i.e.    space space space space space straight x space equals space fraction numerator negative 1 space plus space square root of 7 space straight i end root over denominator 4 end fraction comma space fraction numerator negative 1 space minus square root of 7 space straight i end root over denominator 4 end fraction

120 Views

Advertisement
23.

solve each of the following equations:

space space space space space space square root of 2 space straight x squared space plus space straight x space plus space square root of 2 space equals space 0

115 Views

24.

Solve each of the following equations:

 space space space space space space space space space space straight x squared space plus space straight x space plus space fraction numerator 1 over denominator square root of 2 end fraction equals space 0

114 Views

Advertisement
25.

Write the following complex numbers in polar form and hence, find their modulus and argument.


space space space space space space space space space space space space space 1 half minus fraction numerator square root of 3 over denominator 2 end fraction straight i

403 Views

26.

If z1- -3x + 2iy and z2 = 6 -5i are equal, find value of x and y.

311 Views

27.

If Z1 = (x - 3y) - i (2x + y), and Z2 = -1 - 5i are equal,   find values of x a nd y.

300 Views

28.

Evaluate :

1 + i2 + i4 + i6 + .....+ i20

552 Views

Advertisement
29.

Evaluate :

space space space space space space space space 1 over straight i to the power of 4 straight n plus 2 end exponent

288 Views

30.

Simplify

(1 -i)4

195 Views

Advertisement