One root of equation ( (x-1)(7-x)=m ). one roo ( z ) is 3 times than other (5).
Question
Solution
The given equation is (x-1)(7-x) = m.
The roots of this equation are x = 1 and x = 7.
According to the problem, one root (z) is 3 times the other root (5).
So, we have two equations:
- z = 3*5 = 15
- z = 1 or z = 7 (from the roots of the given equation)
From these two equations, we can see that there is no solution because 15 is not equal to 1 or 7.
Therefore, there seems to be a mistake in the problem as it stands. The roots of the equation (x-1)(7-x) = m are 1 and 7,
Similar Questions
A polynomial has one root that equals 5 - 7i. Name one other root of this polynomial.Answer hereSUBMITarrow_backPREVIOUS
If z5 = (z – 1)5, then the roots are represented in the argand plane by the points that are
If the equation 3x3 - 16x2 + mx - 6 = 0 has three positive real roots, out of which two roots are reciprocals of each other, the value of m is _______ .
Find all the roots α, β, γ of the cubicequation 3 7 6 0x x− − = . Also, find theequation whose roots are α + β, β + γand α + γ
Q 69. Roots of the equation given below are: x^4-4x^3+ 6x^2-4x+1=0 Ops: A. 3,1,3,1 B. 1,1,1,1 C. 1,2,1,2 D. 2,2,2,2
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.