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What are the solutions to the simultaneous equations of x equals 2y -2 and x squared equals y squared plus 7 showing work?
If: x = 2y-2 and x^2 = y^2+7
Then: (2y-2)^2 = y^2+7 => 4y^2-8y+4 = y^2+7 => 3y^2-8y-3= 0
Solving the above quadratic equation: y = -1/3 or y = 3
Solutions by substitution: when y=-1/3 then x=-8/3 and when y=3 then x=4
What else can I help you with?
What are the solutions to the simultaneous equations of x squared plus y squared equals 20 and 2y minus x equals 0?
The solutions are: x = 4, y = 2 and x = -4, y = -2
What are the solutions to the simultaneous equations of x -2y equals 1 and 3xy -y squared equals 8?
They are: (3, 1) and (-11/5, -8/5)
What are the solutions of the simultaneous equations of x squared -xy -y squared equals -11 and 2x plus y equals 1?
1st equation: x^2 -xy -y squared = -11 2nd equation: 2x+y = 1 Combining the the two equations together gives: -x^2 +3x +10 = 0 Solving the above quadratic equation: x = 5 or x = -2 Solutions by substitution: (5, -9) and (-2, 5)
What are the solutions to -x squared plus 2x plus 4 and x-2?
These are two expressions, not equations. Expressions do not have solutions, only equations do. NB equations include the equals sign.
How many solutions can two unique equations that both have two squared variables?
Four.
What are the solutions to the simultaneous equations of x squared plus y squared equals 20 and 2y minus x equals 0?
The solutions are: x = 4, y = 2 and x = -4, y = -2
What are the solutions to the simultaneous equations of x -2y equals 1 and 3xy -y squared equals 8?
They are: (3, 1) and (-11/5, -8/5)
What are the solutions to the simultaneous equations of 2x plus y equals 5 and x squared -y squared equals 3?
If: 2x+y = 5 and x2-y2 = 3 Then the solutions work out as: (2, 1) and ( 14/3, -13/3)
What are the solutions of the simultaneous equations of x squared -xy -y squared equals -11 and 2x plus y equals 1?
1st equation: x^2 -xy -y squared = -11 2nd equation: 2x+y = 1 Combining the the two equations together gives: -x^2 +3x +10 = 0 Solving the above quadratic equation: x = 5 or x = -2 Solutions by substitution: (5, -9) and (-2, 5)
What are the solutions to -x squared plus 2x plus 4 and x-2?
These are two expressions, not equations. Expressions do not have solutions, only equations do. NB equations include the equals sign.
What are 3 real rational solutions to this system of equations z equals x squared y equals z squared x equals y squared?
The two rational solutions are (0,0,0) and (1,1,1). There are no other real solutions.
How many solutions can two unique equations that both have two squared variables?
Four.
Up to how many solutions can there be in a system of two unique equations that both have two squared variables?
4
What are the solutions to the simultaneous equations of 2x plus y equals 5 and x squared minus y squared equals 3?
Merge the equations together and form a quadratic equation in terms of x:- 3x2-20x+28 = 0 (3x-14)(x-2) = 0 x = 14/3 or x = 2 So when x = 14/3 then y = -13/3 and when x = 2 then y = 1
What are the solutions to the simultaneous equations of x equals 2y -2 and x squared equals y squared plus 7 showing work and answers?
If: x = 2y-2 and x^2 = y^2+7 Then: (2y-2)^2 = y^2+7 So: (2y-2)(2y-2) = y^2+7 It follows: 4y^2-y^2-8y+4-7 = 0 => 3y^2-8y-3 = 0 Solving the above quadratic equation: y = -1/3 or y = 3 Solutions: when y = 3 then x = 4 and when y = -1/3 then x = -8/3
What is another name for solution in equations using x squared 2x plus 1 0?
If you mean: x2+2x+1 = 0 then it is a quadratiic equations whose solutions are equal because x = -1 and x = -1
True or false the solution of the equation of x squared plus 4x equals 0 is identical to the solution of 3x squared plus 12x equals 0?
True. Both equations can be factored to x(x+4)=0 and 3x(x+4)=0, respectively. Therefore, the solutions for both equations are x=0 and x=-4. So, yes, the solutions are identical because math doesn't play favorites.
