Math, asked by lory20, 3 months ago

4x^4-37x^2+9=0 quadratic equation. please solve and give answer, it's urgent​

Answers

Answered by suhail2070
0

Answer:

x =  \frac{1}{2}  \:  \:  \:  \:  \:  \:  \:  \: x  =  -  \frac{1}{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x  = 3 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x =  - 3

Step-by-step explanation:

4 {x}^{4}  - 37 {x}^{2}  + 9 = 0 \\  \\ 4 {x}^{4}  - 36 {x}^{2}  -  {x}^{2}  + 9 = 0 \\  \\ 4 { {x}^{2} ( {x}^{2} - 9) }^{}  - 1( {x}^{2}  - 9) = 0 \\  \\ (4 {x}^{2}  - 1)( {x}^{2}  - 9) = 0 \\  \\ 4 {x}^{2}  = 1 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  {x}^{2}  = 9 \\  \\ x =  \frac{1}{2}  \:  \:  \:  \:  \:  \:  \:  \: x  =  -  \frac{1}{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x  = 3 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x =  - 3

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