maali5 said:Homework Statement
How do yo solve simultaneos equations?
Homework Equations
Am I right ?
The Attempt at a Solution
y = x2 – 5x + 5 question a
5x + 3y = 30. question b
Find location of points collide?
Add a+b
x2 + 2y -25=0
quadratic formula use
x= -2+ square root(2^2-(4x1x(-25))/2 x = 4.09901
or
x= -2 - square root(2^2-(4x1x(-25))/2 x=-6.09
subsitue y etc
berkeman said:Looks like you are on the right track...
I would use substitution. You already have equation a solved for y. Plug it into equation b:maali5 said:Add a+b
x2 + 2y -25=0
berkeman said:Looks like you are on the right track...
You can't use the quadratic formula on x2 + 2y -25=0, because it has two different variables in it.maali5 said:...
x2 + 2y -25=0
quadratic formula use
x= -2+ square root(2^2-(4x1x(-25))/2, x = 4.09901
or
x= -2 - square root(2^2-(4x1x(-25))/2, x=-6.09
substitute y etc.
The coefficient of the x2 term is 3, not 15.maali5 said:...
Answer;
5x + 3(x^2 – 5x + 5) = 30
5x+ 15x^2 -15x+15=30
Once you get a solution for x, you should go back to an original equation to find y. To check your answer for the pair x & y, you should then plug those values into the other original equation.15x^2-10x+15=30
15x^2-10x -15 = 30
5(3x^2 -2x -3) = 30
use formula
x= 2 + sqrt{40} / 6
x= 1.3874
or
x=2 - sqrt{40} / 6
x= -0.72075
Is this the right directions?
NascentOxygen said:Errrm, if eumyang is on the right track, then I'll eat my hat!
... and I'll post the video of it on youtube.
Errrm, if maali5 is on the right track, then I'll eat my hat!
... and I'll post the video of it on youtube.
Simultaneous equations are a set of two or more equations that are solved together to find the values of the variables that satisfy all of the equations.
To solve simultaneous equations, you can use methods such as substitution, elimination, or graphing. These methods involve manipulating the equations to isolate one variable and then substituting its value into the other equations to find the remaining variables.
Linear simultaneous equations have variables raised to the first power only, while non-linear simultaneous equations have variables raised to a power higher than one. Linear simultaneous equations can be solved using the methods mentioned above, while non-linear equations often require more advanced techniques.
Yes, simultaneous equations can have any number of variables. However, the number of equations must also match the number of variables in order to solve the system.
Simultaneous equations are used in a variety of fields such as engineering, economics, and physics to model and solve real-world problems. They can be used to calculate the optimal solution for a business, predict the trajectory of a projectile, or design a circuit for an electrical system.