= 1- Solve y"+6y' +9y=2xe * + 3 + 2x²

Q: Find the root of the equation

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Q: Solve 7y^3-34y^2-5y=0

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Q: Solve the equation x^3−2x^2−x −6 = 0 given that x = 3 is a solution.

A: The given equation x3-2x2-x-6=0

Q: Solve using undetermined coefficients: (D^4 + 4D^2)y = 48x + 96sin2x

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Q: Solve for the particular solution: (D³ - 5D² + 4D)y = 12x² - 38x +4 yp = -3x^2 + 2x + 3 О yp = x^3 -…

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Q: Solve in intermediate step form (x+a)^2 -3x^2=-18x+102

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Q: Solve the equation. Make sure to check for extraneous solutions A) 4x^2-5= 2^9x+1 B) 3^x= 9^-x+5…

A: see below the answer and calculation

Q: Solve for the factors of this quadratic x^(2)+10x+21

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Q: (x^(2)-4y)/(2) x=4 y=-3

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Q: Find an equation in the form ax^2 + bx + c = 0 with roots 4 and -7/6

A: The equation is : 6x² - 17x - 28 = 0   The detailed explanation is as follows below:

Q: Use the quadratic formula to find the exact solutions to the equation 3X^2 -7x+1=0.

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Q: X^-2 - X^-1 -12 =0

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Q: Solve 5^(2x + 3) = 1 algebraically

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Q: Solve (D²+3D_^) y = 75i12x

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Q: Complete the square by adding the correct missing term on the left, then factor as indicated: x^{2}…

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Q: eex - 6e^-27=0 -273D0 Find exact solution

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Q: Show by completing a square that the solution to the equation ax^2-bx-a=b are x=-1 and x=(a+b)/a

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