Question

solve 144y^4 - 337y^2 + 144 =0

Answer 1

Answer:

The solution of given equation are  $y=\pm\frac{4}{3},y=\pm\frac{3}{4}$

Step-by-step explanation:

Given equation is $144y^4-337y^2+144=0$

we have to find the solution of above equation.

We solve the above equation by splitting the middle term.

The two factors are 81 and 256

$144y^4-337y^2+144=0$

⇒ $144y^4-81y^2-256y^2+144=0$

⇒ $9y^2(16y^2-9)-16(16y^2-9)=0$

⇒ $(9y^2-16)(16y^2-9)=0$

⇒ $9y^2-16=0,16y^2-9=0$

⇒ $y^2=\frac{16}{9},y^2=\frac{9}{16}$

⇒ $y=\pm\frac{4}{3},y=\pm\frac{3}{4}$