a+b=6 , ab=8 find the value of a and b
Answers
Step-by-step explanation:
Well! this is an easy one. Let’s start by labeling the two equations :
a + b = 6…(1) and
ab = 8…(2)
Now lets focus on equation (1)
as you can see in (1) we have two unknown variables, so let’s flip the script on the equation so that we have one unknown variable: To do that we must throw ‘a’ to other side to have: b = 6 - a,
We’ll to label b = 6 - a…(3)
Now let’s substitute (3) into (2):
ab = 8
a(6 - a) = 8
6a - a^(2) = 8
Now, Let’s place this problem in standard form:
0 = a^(2) - 6a + 8
Factorise it:
0 = (a - 4)(a - 2)
Therefore, a = 4 or a = 2
This means there will be two separate answers for a and b
To find b, you must substitute the answers you got for ‘a’ to equation (3), so let’s begin When a = 4,
b = 6 - a
b = 6 - (4)
b = 2
AND When a = 2,
b = 6 - a
b = 6 - (2)
b = 4
So Therefore a = 4 and b = 2
OR a = 2 and b = 4
Hope that helped
Answer:
a+b = 6
ab => a×b = 8
a+b = 2 + 4 = 6
ab = 2 × 4 = 8
Then, value of a and b is 2 and 4