Question 1(25 marks)
(a) Solve 3x+5=4(x-1).
[8 marks]
(b) Identify the polynomials, its terms and its coefficients in the expression
5y^(3)-2y+4.
[7 marks]
(c) Given that log_(a)b=0.5 and log_(a)c=4. Find the value of
(i) log_(a)((c)/(b))^(2)
(ii) log_(a)(bc)^(3).
Question 2 (25 marks)
(a) Solve the following quadratic equations using the provided formula:
x=(-b+-\sqrt(b^(2)-4ac))/(2a)
(i) x^(2)-4x-8=0
(ii) 5x^(2)-7x-18=0
[5 marks]
(b) Solve the following quadratic equations using the square method.
(i) 4x^(2)-2x-5=0
[5 marks]
(ii) ,x^(2)+6x-7=0
[5 marks]
(iii) x^(2)-10x+5=0