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What are the solutions to the simultaneous equation of 2x plus y equals 5 and x squared -y squared equals 3 showing work?
Wiki User
∙ 10y ago
2x + y = 5 . . . thus y = 5 - 2x
x2 - y2= 3 . . . . now substitute for y in this equation.
x2 - (5 - 2x)2 = 3 . . . and after expansion this becomes,
x2 - 25 + 20x - 4x2 = 3
-3x2 + 20x - 28 = 0 . . . and this factors as,
(-3x + 14)(x - 2) = 0
Then, x = 2 , x = 14/3
When x = 2, then 2x + y = 5 gives the result y = 1.
When x = 14/3 then 2x + y = 5 gives the result y = -13/3.
Wiki User
∙ 10y ago
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What are the solutions to the quadratic equation n2 -n -90 equals 0?
If: n squared -n -90 = 0 Then the solutions are: n = 10 or n = -9
What are the solutions to the simultaneous equations of x -2y equals 1 and 3xy -y squared equals 8 showing all appropiate work with answers?
If: x-2y = 1 and 3xy -y^2 = 8 Then: x = 1+2y and 3(1+2y)y -y^2 = 8 Hence: 3y+6y^2 -y^2 = 8 => 5y^2 +3y -8 = 0 Solving the above quadratic equation: y =1 or y = -8/5 Solutions by substitution are: when y=1 then x=3 and when y=-8/5 then x=-11/5
Is y equals 3x squared-2 a function?
5
How do you solve the simultaneous equations of x -2y equals 1 and 3xy -y squared equals 8?
x - 2y = 1 → x = 1 + 2y 3xy - y² = 8 Substitute the first equation into the second equation and subtract 8 from both sides: 3(1 +2y)y - y² = 0 3y +6y² - y² - 8 = 0 5y² + 3y - 8 = 0 When factored: (5y +8)(y -1) = 0 Therefore: y = -⁸/₅ or y = 1 Substituting the above values into the linear equation gives the solutions as: (3, 1) and (-¹¹/₈, -⁸/₅)
How much is 9 squared plus 10 squared?
9 squared is another way of stating the equation 9 X 9, and 10 squared is another way of stating the equation 10 X 10. Find the answers to these equations, add them together, and you will have the answer.
How many solutions will the equation 25 equals 2x squared 6x have?
The quadratic equation will have two solutions.
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)
When you square each side of an equation is the resulting equation equivalent to the original?
No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2
What are the solutions to the simultaneous equations of x squared plus y squared equals 20 and 2y minus x equals 0?
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One of its terms will be squared and it will have two solutions.
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No. It's a quadratic equation, and it has two solutions.
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What are the solutions to the equation 2x squared minus x 3?
There's an equals missing...
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)
How many solutions will the equation 25 equals 2x squared-6x have?
2x2 - 6x - 25 = 0. Solutions are 5.34 and -2.34
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 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)
