Math, asked by santoshtripathy70, 10 months ago

If y = 5-3√25 - 3√5, then find the value of (y^3)-(15y^2)+60y +40​

Answers

Answered by Anonymous
5

615 - 315√5

Explanation :-

Given :-

y = 5 - 3√25 - 3√5

__________________________

To Find :-

We have to find value of,

y³ - 15y² + 60y + 40 ....... (1)

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Solution :-

As, We have to find the value of equation 1. So, we will evaluate the value of y and after that we will put the value of the y in equation 1. So that, we can know the value of the equation 1.

y = 5 - 3(√5)² - 3√5

y = 5 - 3(5) - 3√5

y = 5 - 15 - 3√5

y = -10 - 3√5

_______________[Put Value of y]

 {( - 10 - 3 \sqrt{5} )}^{3}  - 15 {( - 10 - 3 \sqrt{5}) }^{2}  + 60( - 10 - 3 \sqrt{5} ) + 40 \\  \\  {( - 10)}^{3}   +  { (- 3 \sqrt{5} )}^{3}  - 15( - 100 - 45)  - 600 - 180 \sqrt{5}  + 40 \\  \\  - 1000 - 135 \sqrt{5}   + 1500 + 675 - 600 - 180 \sqrt{5}  + 40 \\  \\  - 1000 + 1500 + 675 - 600 + 40 - 135 \sqrt{5}  - 180 \sqrt{5}  \\  \\ 500 + 75 + 40 - 135 \sqrt{5}  - 180 \sqrt{5}  \\  \\ 575 + 40 - 315 \sqrt{5}  \\  \\ 615 - 315 \sqrt{5}

Answered by KJB811217
1

Step-by-step explanation:

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