Question

if a²+b²=5 and a²b²=3 find the value of a⁴+b⁴​

Answer 1

Answer:

The answer is 19

Step-by-step explanation:

Given $a^2+b^2=5$ and $a^2b^2=3$

• Now using $(x+y)^2=x^2+y^2+2xy$

                  $\Rightarrow (a^2+b^2)^2=(a^2)^2+(b^2)^2+2a^2b^2\\\Rightarrow (5)^2=a^4+b^4+2(3)\\\Rightarrow 25=a^4+b^4+6\\\therefore a^4+b^4=25-6=19$