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Given that a is the root of each of the equations xsquare-5x plus k equals 0 and xsquare-6x plus 3k equals 0 where k is not equal to 0 find k and a?
Since a is the root of both equations, a satisfies them:
a2 - 5a + k = 0
a2 - 6a + 3k = 0
The right hand side of both the equations are same. Therefore,
a2 - 5a + k = a2 - 6a + 3k
6a - 5a = 3k - k
a = 2k
k = (a/2)
Substituting k = a/2 in one of the equations,
a2 - 5a + (a/2) = 0
Solving, a=9/2
k=a/2=9/4
Thus 'a' = (9/2) and 'k' = (9/4).
What else can I help you with?
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3
You are given two equations which are both true and you are asked to solve for both x and y You plan to solve this set of equations by substituting part of one equation into the other so you end up?
(a) rearrange one of the equations so that x or y is alone on one side of the equals sign.
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Plug your ordered pair into both of your equations to see if you get they work.
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Without any equality signs the given terms can't be considered to be equations.
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They are parallel.
The lines given by the equations y equals 2x and y equals 0.5x are?
Neither perpendicular nor parallel
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If you already know that x = -3 and y = 5 what linear equations are you wanting to solve?
Why does a CPU evaluate the expression 'a' equals 'a' as true?
CPUs, when given mathematical equations, apply the laws of mathematics to those equations. The equation a = a is true by the reflexive property of equality.
How do you determine if a given expression is an equation?
An equation has an equals sign ( = ). Equations assert the absolute equality of two expressions.
The line given by the equation y equals 7x - 4 is perpendicular to the line given by which of the equations below?
3
What equations a line parallel to the line given by y equals 5x plus 9?
It will be any of the equations that has the same slope of y = 5x+9 but with a different y intercept
What equations represents a line parallel to the line given by y equals 5x plus 9?
The equations will have the same slope as y = 5x+9 but a different y intercept
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It depends on what equations are given.
Determind if the given numbers are solutions of the given equations. a equals 5 for a plus 7 equals 12?
since a=5 you can put that into your equation of a+7=12 a=5 a+7=12 5+7=12 12=12 Correct So yes the given number is a solution to the given equation
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There is only one equation that is given in the question and that equation is not a direct variation.
Where the given equations are not linear?
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
