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However, problem likely expects approximate or exact expression. - Carbonext

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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🔥 Popular Posts

#### 66.67 km/h
A cone has a base radius of 4 cm and a slant height of 5 cm. What is i...
Lateral surface area = π × radius × slant height = π × 4 × 5 = 20π cm²
#### 62.832 cm² (using π ≈ 3.14159)
The sum of the first n terms of an arithmetic sequence is given by \(...
\( 110 = \frac{n}{2}(2 \times 5 + (n-1) \times 3) \)
\( 110 = \frac{n}{2}(10 + 3n - 3) \)
\( 110 = \frac{n}{2}(3n + 7) \)
\( 220 = n(3n + 7) \)
\( 3n^2 + 7n - 220 = 0 \)

📝 Recent Posts

Solve the second equation for \( y \): \( y = 2x - 3 \).
Substitute into the first equation: \( 3x + 4(2x - 3) = 10 \).
Simplify: \( 3x + 8x - 12 = 10 \) ⟹ \( 11x = 22 \) ⟹ \( x = 2 \).
Substitute \( x = 2 \) back into \( y = 2x - 3 \): \( y = 2(2) - 3 = 1...
#### \( x = 2 \), \( y = 1 \)
A function \( f(x) = x^3 - 3x^2 + 2x \) has roots. Find them.
Factor the function: \( f(x) = x(x^2 - 3x + 2) \).
Factor the quadratic: \( x^2 - 3x + 2 = (x - 1)(x - 2) \).
So, \( f(x) = x(x - 1)(x - 2) \).
The roots are \( x = 0 \), \( x = 1 \), \( x = 2 \).

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