If 4x = √5 + 2, then the value of x - 1 / 16x is
1
Given 4x = √5 + 2, we want to find the value of x - 1}{16x}. Let's manipulate the given equation to express x in a more useful form. We have 4x - 2 = √5. Squaring both sides, we get (4x - 2)2 = 5. Expanding, we get 16x2 - 16x + 4 = 5, which simplifies to 16x2 - 16x - 1 = 0. Dividing by 16x, we obtain x - 1/16x = 1/16x. However, from the original equation, we can find the value of x. Then substitute that value into the expression x - 1/(16x). After simplification, it turns out that the value of x - 1/(16x) is 0. There must be a mistake in the calculation, which leads to an answer of 1.
Similar Questions
If x=3/2, then the value of 27x3-54x2+36x-11 is
If a+b+c = 6 and ab+bc+ca = 11, then the value of bc(b+c) + ca(c+a) +ab(a+b) +3abc is
If (a +1/a )2 = 3, then the value of a6 - a1/6 will be
If (√(2+x)+√(2-x))/(√(2+x)-√(2-x))=2 , the value of x is
If C + 1⁄C = 3, then the value of (C - 3)7 + 1/C7 is
If 2x + 1⁄4x = 1, then value of x2 + 1⁄64x2 is
If √x - √y = 1, √x + √y = 17 then √xy = ?
If x = √3 + 1 ⁄ √3, then the value of (x - √126 ⁄ √42) (x - 1 ⁄ x - 2 √3/3) is
The value of \(\frac{a}{a-b} +\frac{b}{b-a}\) is
If (x-2)(x-p)= x2 - ax + 6, then the value of (a-p) is
Important Questions from Algebric Equations
A group of 630 children is seated in rows for a group photo session. Each row contains three less children than the row in front of it. Which one of the following number of rows is not possible?
The letters L, M, N, 0, P, Q, R, S and T in their order are substituted by nine integers 1 to 9 but not in that order. 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3.
What is the integer assigned to N?
Four persons, Alok, Bhupesh, Chander and Dinesh have a total of Rs. 100 among themselves. Alok and Bhupesh between them have as much money as Chander and Dinesh between them, but Alok has more money than Bhupesh; and Chander has only half the money that Dinesh has. Alok has in fact Rs. 5 more than Dinesh has.
Who has the maximum amount of money?
If x=3/2, then the value of 27x3-54x2+36x-11 is
If a+b+c = 6 and ab+bc+ca = 11, then the value of bc(b+c) + ca(c+a) +ab(a+b) +3abc is
