Both the roots of the equation x2 – Kx + 72 = 0 are integers. How many values are possible for K?6121824
Question
Solution 1
The roots of the equation x^2 - Kx + 72 = 0 are integers. This means that the roots are factors of 72.
The factors of 72 are: ±1, ±2, ±3, ±4, ±6, ±8, ±9, ±12, ±18, ±24, ±36, ±72.
Each pair of factors will give a different value of K, because K is the sum of the roots (with a negative sign becaus Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
Both the roots of the equation x2 – Kx + 72 = 0 are integers. How many values are possible for K?6121824
Question No 46.For how many integral values of k will the equation x2 + kx + 144 = 0 have distinct integer roots?1) 72) 123) 144) 15
Find the positive value of k for which the equations: x2 + kx + 64 = 0 and x2 – 8x+ k = 0 will have real roots:(a) 12(b) 16(c) 18(d) 22
Show that the equation (k + 1)x2 − 2x − k = 0 has a solution for all values of k
The range of real number k for which the equation x2 – 3x + k = 0 has two distinct real roots in [–1, 2], is