Question

12. If a + b = 5 and a2 + b2 = 13, find ab.​

Answer 1

The value of ab is 6.

Step-by-step explanation:

Given : If $a+b=5$ and $a^2+b^2=13$.

To find : The value of ab ?

Solution :

Using algebraic identities,

$(a+b)^2=a^2+b^2+2ab$

Substitute the values,

$(5)^2=13+2ab$

$25=13+2ab$

$2ab=25-13$

$2ab=12$

$ab=\frac{12}{2}$

$ab=6$

Therefore, the value of ab is 6.

#Learn more

If a/4 = b/5 then (a) a+4 / a-4 = b-5/b+5. (b). a+4/a-4 = b+5/b-5 (c). a-4/a+4 = b+5/b-5. (d) none of these

https://brainly.in/question/2310663

Answer 2

The value of ab is 6

Given; a + b = 5 and a2 + b2 = 13,

To Find; ab

Solution; This question can be easily solved by applying identity and then taking the given things on one side and thing to funded out on another side

a+b=5 and a^2+b^2= 13

(a+b)^2=13+2ab

25-13=2ab

ab=6

Hence the value of ab is 6

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