x^3+2x^2-8x+5=0 , find zeroes
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The answer of u r question is...
![{x}^{2} + 2 {x}^{2} - 8x + 5 = 0 {x}^{2} + 2 {x}^{2} - 8x + 5 = 0](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B2%7D++%2B+2+%7Bx%7D%5E%7B2%7D++-+8x+%2B+5+%3D+0)
Ans:
Given,
![{x}^{2} + 2 {x}^{2} - 8x + 5 = 0 {x}^{2} + 2 {x}^{2} - 8x + 5 = 0](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B2%7D++%2B+2+%7Bx%7D%5E%7B2%7D++-+8x+%2B+5+%3D+0)
![{2}^{3} - {2}^{2} + {3x}^{2} - 3x - 5x + 5 = 0 {2}^{3} - {2}^{2} + {3x}^{2} - 3x - 5x + 5 = 0](https://tex.z-dn.net/?f=+%7B2%7D%5E%7B3%7D++-++%7B2%7D%5E%7B2%7D++%2B++%7B3x%7D%5E%7B2%7D++-+3x+-+5x++%2B+5+%3D+0)
![{x}^{2} \times (x - 1) + 3x \times (x - 1 - 5(x - 1) = 0 {x}^{2} \times (x - 1) + 3x \times (x - 1 - 5(x - 1) = 0](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B2%7D+++%5Ctimes+%28x+-+1%29+%2B+3x+%5Ctimes+%28x+-+1+-+5%28x+-+1%29+%3D+0)
![(x - 1) \times ( {2}^{2} + 3x - 5) = 0 (x - 1) \times ( {2}^{2} + 3x - 5) = 0](https://tex.z-dn.net/?f=%28x+-+1%29+%5Ctimes+%28+%7B2%7D%5E%7B2%7D++%2B+3x+-+5%29+%3D+0)
![x = 1 \alpha x = 1 \alpha](https://tex.z-dn.net/?f=x+%3D+1++%5Calpha+)
![x \times \frac{ - 3 + \sqrt{2} } {2} x \times \frac{ - 3 + \sqrt{2} } {2}](https://tex.z-dn.net/?f=x+%5Ctimes+%5Cfrac%7B+-+3+%2B++%5Csqrt%7B2%7D+%7D+%7B2%7D+)
![x \times \frac{ - 3 - \sqrt{2} }{2} x \times \frac{ - 3 - \sqrt{2} }{2}](https://tex.z-dn.net/?f=x+%5Ctimes+%5Cfrac%7B+-+3+-++%5Csqrt%7B2%7D+%7D%7B2%7D+)
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The answer of u r question is...
Ans:
Given,
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