when equation has no solution?
231907
“No solution” means that there is no value, not even 0, which would satisfy the equation. Also, be careful not to make the mistake of thinking that the equation 4 = 5 means that 4 and 5 are values for x that are solutions.
1016357
To check your answers, you can substitute both values directly into the original equation and see if you get a true sentence for each. Both solutions check. You can use the Principle of Zero Products to solve quadratic equations in the form ax2 + bx + c = 0. First factor the expression, and set each factor equal to 0.
94739
Examples:x2 - 4x + 3, x2 - 3x etc. Quadratic equation: An equation of the form ax2 + bx + c = 0 where a, b, and c are constants and a ≠ 0 is known as a quadratic equation. ... a polynomial when equated to zero or some value becomes an equation.
6422
Answer and Explanation: When a quadratic equation, ax2 + bx + c = 0, has no b term, then it has the form ax2 + c = 0. When this is the case, we can solve this equation...
137121
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities.
1308311
Solve (x + 1)(x – 3) = 0. To solve this quadratic equation, I could multiply out the expression on the left-hand side, simplify to find the coefficients, plug those coefficient values into the Quadratic Formula, and chug away to the answer.
1076445
To make an equation with a horizontal line of a slope of 0 would it be y= or x=?
459653
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. Also, be careful not to make the mistake of thinking that the equation 4 = 5 means that 4 and 5 are values for x that are solutions.
1034941
A quadratic equation contains terms up to . There are many ways to solve quadratics. All quadratic equations can be written in the form a x 2 + b x + c = 0 where , and are numbers ( cannot be equal to 0, but and can be).
652924
If the discriminant is less than 0, the equation has no real solution. Looking at the graph of a quadratic equation, if the parabola does not cross or intersect the x-axis, then the equation has no real solution. And no real solution does not mean that there is no solution, but that the solutions are not real numbers.
962185
There is NO solution, so any non-zero number divided by 0 is undefined. Comment on CarlBiologist's post “Infinity is not a real number, and even if it were...”
509021
The solution to a partial differential equation, of order n, can be written as a linear combination of n independent solutions but with n undetermined functions. The functions themselves constitute an infinite dimensional vector space. able to help you.
210819
When there is no C value in the standard equation, it is understood to be C = 0 (has a Y intercept of 0), since . To solve quadratic equation (finding zeros aka X intercepts), first set the equation to zero () if not already set. Then you could factor if possible, or use the quadratic formula.
94578
Note that the quadratic equation must be set equal to 0 before a, b, and c can be extracted. If the quadratic equation is not set equal to 0, then all the terms of the equation is taken to one side of the equality sign so that the other side of the equality sign will be 0.
1352154
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.
1251871
If a consistent system has exactly one solution, it is independent . ... If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent .
684754
Solving Inequalities with No Solution or All Real Numbers. If the inequality states something untrue there is no solution. If an inequality would be true for all possible values, the answer is all real numbers.