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A student claims that the equation -x 3 has no solution since the square root of a negative number does not exist Why is this argument wrong?
The equation does not have real solutions, but it has pure imaginary numbers as solutions. -x^2 = 3 multiply by -1 to both sides x^2 = - 3 x = ± √-3 x = ± √[(-1)(3)] substitute i^2 for -1 x = ± √[(i^2)(3)] x = ± (√3)i
Which equation has solution x -3?
The equation that has the solution x = -3, is, precisely:x = -3 If you want anything more fancy, you can add some number (the same number to both sides), multiply by some number (the same number to both sides), etc.
What is x-3 equals 0?
The equation ( x - 3 = 0 ) can be solved by isolating ( x ). By adding 3 to both sides of the equation, we find that ( x = 3 ). Thus, the solution to the equation is ( x = 3 ).
What equation of 2 x -3?
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How many solution exist for the system of equatiom x minus y equal 3?
The equation ( x - y = 3 ) represents a straight line in the coordinate plane. Since it is a linear equation with two variables, it has infinitely many solutions, as any point (x, y) on the line satisfies the equation. Specifically, for any value of ( y ), you can find a corresponding value of ( x ) such that the equation holds true.
Which equation has the solution set 1 and 3?
The equation is (x - 1)*(x - 3) = 0 or x2- 4x + 3 = 0The equation is (x - 1)*(x - 3) = 0 or x2- 4x + 3 = 0The equation is (x - 1)*(x - 3) = 0 or x2- 4x + 3 = 0The equation is (x - 1)*(x - 3) = 0 or x2- 4x + 3 = 0
What equation has a solution to x -3?
The equation that has a solution of ( x = -3 ) can be written as ( x + 3 = 0 ). When you solve this equation, you subtract 3 from both sides, leading to ( x = -3 ). Alternatively, any equation that can be manipulated to reach this solution, such as ( 2x + 6 = 0 ), will also have ( x = -3 ) as a solution.
What is the difference between an algebraic expression and an equation?
Equation: x+3=3+x (notice the equal sign: equal; equation)Expression: x+3 (notice no equal sign)
Example of the difference between equation and an expression?
Equation: x+3=3+x (notice the equal sign: equal; equation)Expression: x+3 (notice no equal sign)
Will an equation with an integer coefficient always have an integer solution?
No, an equation with integer coefficients does not always have an integer solution. For example, the equation (x + 1 = 2) has an integer solution, (x = 1), but the equation (2x + 3 = 1) has no integer solution since (x = -1) is not an integer. Solutions depend on the specific equation and its constraints, and rational or real solutions may exist instead.
What is the equation of ( 3 - 1 ) on a slope equation?
It is: y = x+3
How do you graph the equation x plus 3 equals 0?
Move 3 over the right side of the equation so the equation would be x = -3. The graph of this would be a verticle line at x= -3
