We're not sure what the question means by "root". It may be what's usually
referred to as the "solution" of the equation ... the number that 'a' must be in
order to make the equation a true statement. Here's how to find the 'solution':
- 5a - 3 = 3a
Add 5a to each side:
- 3 = 8a
Divide each side by 8:
- 3/8 = a
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13a - 6 + a = 5a + 3 + 3a 13a + a - 5a - 3a = 3 + 6 6a = 9 6a/6 = 9/6 a = 3/2
9a2=24a-16 9a2-24a+16=0 (3a-4)(3a-4)=0 3a-4=0 a=4/3 double root
(3 x 3) - 6 = 3 3a-6=3 3a=3+6 3a=9 a=9/3 a=3
3a = 1a = 1/3 (a third)
(5a).7 = -23 7(5a) = -23 35a = -23 a = -23/35 a= -0.657 (3 d.p.)