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uniuyo mth 111 exercise 2.4 Question number 2

Sat Jan 13, 2018 8:49 pm by Admin


The solutions to problems of number 2 exercise 2.4 are not available on the web. However you can request for a hand written copy from the Admin by submitting this form.

Immediately after submitting you'll receive the hand written copy of the solutions via email.

Make sure you review the solutions and look out for the next material. If on reviewing the material you encounter any problem please …

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uniuyo mth 111 exercise 2.4 Question number 7

Sat Jan 13, 2018 6:45 pm by Admin


Find an equation ax2+bx+c=0 such that the sum of the roots is 10 and the product of the roots is 4.

Solution:
To solve the problem we apply the formula for forming quadratic equation given below :
x2-(sum of roots)x+product of roots=0
From the question;
Sum of roots=10
Product of roots=4
Substituting the value in the formula we have the required equation as:
x2-10x+4=0

End of the solution to question 7 …



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uniuyo mth 111 exercise 2.4. Question number 1

Sat Jan 13, 2018 5:46 pm by Admin


In question number one we are ask to solve by factoring. Here are the solutions:

(i)
 x2-12=0
Factorizing gives:
x(x-12/x)=0
x-12/x=0
x=12/x
x2=12
x=+√12 or -√12
x=+2√3 or -2√3

(ii)
48-3x2=0
Divide through by 3;
16-x2=0
Rearranging gives;
x2-16=0
(x+4)(x-4) =0   (sum of 2 squares)
x+4=0 or x-4=0
x=-4 or 4

(iii)
x2=2x
Rearranging gives;
x2-2x=0
Factorizing gives;
x(x-2)=0
x-2=0
x=2

(iv)
2x2+6x=0
Dividing …



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