My name is Jennifer a student in year 11. The following problems have
me stuck and any help would be greatly appreciated seeing my text book is
doing me no favours:
32a+1 - 283a + 9=0
52m - 5m=20
Thankyou for your time
Mny times solving an angebra problem is seeing a pattern. In your second problem 52m is the square of 5m, so the pattern I see is
(something squared) - (something) = 20
To use more conventional mathematical notation, let x = 5m, then the expression is
x2 - x = 20
x2 - x - 20 = 0
which factors to give
(x - 5)(x + 4) = 0
and hence x = 5 or x = -4.
Since x = 5m and 5m cannot be negative, the only solution is 5m = 5 and thus m = 1.
Can you now solve the first problem?