Question

(2x + 3)^2 = 81......

solve it ........​

Answer 1

Answer:

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Answer 2

...Solution...

---➣ ( 2x + 3 )² = 81

${\overbrace{\underbrace{(a+b)^{2}\:=\:(a)^{2}+(b)+{2}+2ab}}}$

---➣ (2x)² + (3)² + 2 (2x) (3) = 81

---➣ 4x² + 9 + 12x = 81

---➣ 4x² + 12x + 9 - 81 = 0

---➣ 4x² + 12x - 72 = 0

Hence, it forms an quadratic equation...

---➣ 4x² + 12x - 72 = 0

---➣ 4x² - 12x + 24x - 72 = 0

---➣ 4x ( x - 3 ) + 24 ( x - 3 ) = 0

---➣ ( 4x + 24 ) ( x - 3 ) = 0

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

• ❐ 4x + 24 = 0
• ❐ 4x = - 24
• ❐ x = - 24 / 4
• ❐ x = - 6

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀

• ❐ x - 3 = 0
• ❐ x = 3