In Each of the Following, Find the Value of 'A': 4x2 + Ax + 9 = (2x + 3)2 - Mathematics

Find the value of 'a': 4x² + ax + 9 = (2x + 3)²

Sum

4x² + ax + 9 = (2x + 3)²Comparing coefficients of x terms, we get
ax = 12x
so, a = 12

shaalaa.com

Expansion of Formula

Is there an error in this question or solution?

Chapter 4: Expansions (Including Substitution) - Exercise 4 (D) [Page 64]

Chapter 4 Expansions (Including Substitution)
Exercise 4 (D) | Q 13.1 | Page 64

Expand : ( x + y - z )²

Expand : ( 5a - 3b + c )²

Expand : ( 5x - 3y - 2 )²

If a + b + c = p and ab + bc + ca = q ; find a² + b² + c².

If a + `1/a` = m and a ≠ 0; find in terms of 'm'; the value of `a^2 - 1/a^2`.

If 2( x² + 1 ) = 5x, find :
(i) `x - 1/x`

(ii) `x^3 - 1/x^3`

The difference between two positive numbers is 4 and the difference between their cubes is 316.
Find : Their product

The difference between two positive numbers is 4 and the difference between their cubes is 316.
Find : The sum of their squares

If `(x^2 + 1)/x = 3 1/3` and x > 1; Find `x - 1/x`.

The sum of two numbers is 7 and the sum of their cubes is 133, find the sum of their square.