Question

If a2+4b2=17and ab=2 find a+2b

Answer 1

it's basic algebra just need to know basic formulae

anyways here you go peace!!

Answer 2

The value of a + 2b is "5".

Step-by-step explanation:

Given,

$a^{2} +4b^{2} =17$ and $ab=2$

To find, the value of a + 2b = ?

We know that,

$(a + 2b)^{2} =a^{2} +(2b)^{2} +2(a)(2b)$

[∵$(a + 2b)^{2} =a^{2} +b^{2} +2ab$]

⇒ $(a + 2b)^{2} =a^{2} +4b^{2} +4(ab)$

⇒ $(a + 2b)^{2} =17+4(2)=25$

⇒ $(a + 2b)^{2} =5^{2}$

∴ a + 2b = 5

Hence, the value of a + 2b is "5".