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📅 February 27, 2026 👤 scraface

Feb 27, 2026

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We require \(\left|rac{3 - 2y}{y - 2}
ight| \leq 1\)
\left| rac{3 - 2y}{y - 2}
ight| \leq 1 \Rightarrow (3 - 2y)^2 \leq (y - 2)^2
Expand both sides:
- 12y + 4y^2 \leq y^2 - 4y + 4
4y^2 - 12y + 9 \leq y^2 - 4y + 4
3y^2 - 8y + 5 \leq 0
Solve quadratic: discriminant = \(64 - 60 = 4\), roots:
y = rac{8 \pm 2}{6} = rac{10}{6} = rac{5}{3},\quad rac{6}{6} = 1

📝 Recent Posts

حيث \( l = 8 \) سم، \( w = 5 \) سم، و \( h = 10 \) سم.
lw = 8 \times 5 = 40 \, \text{cm}^2
lh = 8 \times 10 = 80 \, \text{cm}^2
wh = 5 \times 10 = 50 \, \text{cm}^2
lw + lh + wh = 40 + 80 + 50 = 170 \, \text{cm}^2
SA = 2 \times 170 = 340 \, \text{cm}^2
لذلك، مساحة سطح المنشور هي \( 340 \, \text{cm}^2 \).
سؤال**: حل المعادلة \( 3x^2 - 12x + 9 = 0 \) لإيجاد قيمة \( x \).
x - 3 = 0 \quad \Rightarrow \quad x = 3
x - 1 = 0 \quad \Rightarrow \quad x = 1

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