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Home » Wait â letâs compute discriminant or use known roots. - Simpleprint

Wait â letâs compute discriminant or use known roots. - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 A rectangle has a length of 12 cm and a width of 5 cm. If it is scaled up by a factor of 3, what is the area of the new rectangle?

📌 New length = \( 12 \times 3 = 36 \, \text{cm} \), new width = \( 5 \times 3 = 15 \, \text{cm} \).

📌 New area = \( 36 \times 15 = 540 \, \text{cm}^2 \).

📌 Solve for \( x \) in the equation \( 2x^2 - 8x + 6 = 0 \) using the quadratic formula.

📌 Discriminant = \( (-8)^2 - 4 \times 2 \times 6 = 64 - 48 = 16 \).

📌 Solutions: \( x = \frac{12}{4} = 3 \) and \( x = \frac{4}{4} = 1 \).

📌 A circle has a circumference of 31.4 cm. Find its radius.

📌 Solving for \( r \), \( r = \frac{C}{2\pi} = \frac{31.4}{2 \times 3.14159} \approx \frac{31.4}{6.28318} \approx 5 \).

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