Show that the general cubic equation y3 + by2 + cy + d = 0can be transformed into an equation of the form x3 + px + q = 0by using the substitution y = x - b3

Q: Express 4x^2 + y^2 + 9z^2 + 8x − 4y − 18z − 19 = 0 to its standard form. Also, sketch and name the…

A: Given equation is: 4x2+y2+9z2+8x-4y-18z-19=0 Rearranging the terms we get,…

Q: What are the roots of the equation x2 + 2x + 37 = 0 in simplest a + bi form?

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Q: x2 - 8x -5 = 0 can be transformed into the equation (x - p)2 = q

A: The objective of the question is to transform the given quadratic equation x^2 - 8x - 5 = 0 into the…

Q: Show that the product of the roots of a quadratic equation is c/a .

A: Consider the quadratic equation ax2+bx+c=0 Also consider that α and β are the roots of the quadratic…

Q: A human slingshot was used to launch a stunt  man into the air across two football fields where he…

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Q: What is the standard form of this equation

A: NOTE: Refresh your page if you can't see any equations. . the standard equation of the lefr-right…

Q: Transform the equation -y^2+8y+x+12= 0 into its standard form

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Q: Transform the equation below to one in standard form and describe all important features. 4x^2 − 24x…

A: Transform into the standard form.

Q: 25x2+16y2-600x-256y+4224=0 What is the standard form of the equation?

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Q: Show that the equation Z+22³ +37² +4Z+ 5 = 0 has no root which is either purely real or purely…

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Q: How can I write an equation in standard form using only x=4 and (7,6)?

A: The standard equation of line is given by:

Q: What are the roots of the equation x2 + 14x + 50 = 0 in simplest a + bi form?

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Q: Which of these could be a correct next step to be able to write this equation in standard form? 3.…

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Q: If a and b are the roots of the quadratic equation (x - 2023)(x-2024) = 2025, then (2025-a) (2025-b)…

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Q: y" – 4y = 5e*. (a) Find a fundamental set {y1, Y2} of y" – 4y = 0. (b) Compute the Wronskian of the…

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Q: Find the depressed cubic equations for x3 - 6x2 -24x + 64 = 0

A: Given, x3-6x2-24x+64=0                   .......1Here, a=1 , b=-6 , c=24 , d=64Put x…

Q: If brad throws a spherical object vertically upward having initial velocity at 200 feet per second…

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Q: Write an equation in the form Ax + By = C, given that m=3/4 and y-intercept is (0,-4), where A, B…

A: First we will substitute the value of slope m= 3/4 and y-intercept b=-1 in slope-intercept form y=…

Q: Determine the equation of the quadratic function that passes through (-3, 20) if its x-intercepts a…

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Q: X^(2)-12x+35=0 quadratic equation using quadratic forma

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Q: Write the equation of a cubic function in factored form that has zeros 2, -3, and 5, and also passes…

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Q: 2. Rearrange the following equations into the form "x = ." (a) 5x2= 12 - 7x (b) 7x + 3a = 4(x − 2a)…

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Q: What are the roots of the equation x2 – 10x + 26 = 0 in simplest a + bi form?

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