WebMar 14, 2024 · Taking into account the discriminant and quadratic formula: As Δ> 0 the function has two real roots or solutions. The solutions are x1= 10 and x2= -2. Zeros or … WebThis trick is based on simplifying and as soon as you see the same coefficients of the variable on both sides and any different numbers on the two sides, you know that …
3. Explain why (x – 4)2 = -9 has no real solutions.
WebThe solutions to Power Equations and the solutions to Radical Equations are different things. For example, x^2 = 4 has two solutions: x = ±2, while x = √4 has only one solution: x = 2, and x = -√4 also has one solution: x = -2. We define the square root as a function, so it must have only one output for each input. Web2. Perhaps the question should really be: The polynomial is given , show that the equation has no real solution. – projectilemotion. Jul 10, 2024 at 18:34. 1. You can prove that is never zero if you can show that it has a global minimum which is a positive number. hudson ny fire department
How to find out when an equation has no solution
WebMar 10, 2024 · Given, (x – 4)² = -9. The LHS of the equation is either positive or zero. But, the RHS of the equation is a negative value. Therefore, RHS and LHS can never be equal. Hence, the equation (x – 4)² = -9 has no real roots. To learn more about quadratic … WebThere are no real numbers that satisfy the equation 𝑥 = √-1 c. Because √-1is imaginary, no one does math with it. d. The equation 𝑥2 = -1has real solutions. e. √-1= -1because -1 ⋅-1 = -1.. 2. Plot each number on the real number line, or explain why the number is not on the real number line. a. √4 b. -√4 c. √-4 d. √8 e. -√8 f. √-8 3. WebFeb 25, 2012 · For some equations that do not have a real solution, for example, x^2 + 1 = 0, there are solutions if the domain is extended to the complex field. x + 2 = x - 2 has no... hudson nyc shirts