solve the following 4y²+6/y²=11
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Answer:
given that,
\begin{gathered}4 {y}^{2} + 6 \div {y}^{2} = 1 \\ {y}^{2} + 6 \div {y}^{2} = 11 \div 4 \\ \end{gathered}
4y
2
+6÷y
2
=1
y
2
+6÷y
2
=11÷4
by cross multiplication,
\begin{gathered} {11y}^{2} = 4 {y}^{2} + 6 \\ 7 {y}^{2} = 6 \\ {y}^{2} = 6 \div 7 \\ y = \sqrt{6 \div 7} \end{gathered}
11y
2
=4y
2
+6
7y
2
=6
y
2
=6÷7
y=
6÷7
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