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५५५।।।Using completing the square method, show that the equationx4 - 8x + 18 = 0 has no solution. |
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Answer» To complete the square, we need the perfect square of the equation ofx^2 - 8x + 18In order to find the perfect square, we need to change the equation into(x−b)^2 = a, were a and b are constants. To find c, we divide the coefficient by 2 and square it (8/2)^2 = 16 We get 16, which means that we must change our current equation to have a 16. x^2 - 8x + 18 − 2 = −2 By subtracting 2 from both sides, we get that 16. Now, we can simplify the left hand side into the perfect square x^2 - 8x + 16 = (x-4)^2 This means(x-4)^2 = −2 We now square root both side, giving usx - 4 = √−2 They can never be a negative square root, so therefore there is no answer |
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