please answer me the marked question plss
Answers
1 Simplify \frac{1}{a}\times 2(a+\frac{1}{a})
a
1
×2(a+
a
1
) to \frac{2(a+\frac{1}{a})}{a}
a
2(a+
a
1
)
.
{a}^{2}+\frac{2(a+\frac{1}{a})}{a}=49a
2
+
a
2(a+
a
1
)
=49
2 Multiply both sides by the Least Common Denominator: aa.
{a}^{3}+2(a+\frac{1}{a})=49aa
3
+2(a+
a
1
)=49a
3 Simplify.
{a}^{3}+2a+\frac{2}{a}=49aa
3
+2a+
a
2
=49a
4 Multiply both sides by aa.
{a}^{4}+2{a}^{2}+2=49{a}^{2}a
4
+2a
2
+2=49a
2
5 Move all terms to one side.
{a}^{4}+2{a}^{2}+2-49{a}^{2}=0a
4
+2a
2
+2−49a
2
=0
6 Simplify {a}^{4}+2{a}^{2}+2-49{a}^{2}a
4
+2a
2
+2−49a
2
to {a}^{4}-47{a}^{2}+2a
4
−47a
2
+2.
{a}^{4}-47{a}^{2}+2=0a
4
−47a
2
+2=0
7 No root was found algebraically. However, the following root(s) were found by numerical methods.
a=±6.852547,±0.206377
