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Home » Calculate \( (1.5)^4 \): - Redraw

Calculate \( (1.5)^4 \): - Redraw

📅 May 2, 2026 👤 scraface

May 02, 2026

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A quadratic equation \( ax^2 + bx + c = 0 \) has roots 3 and -2. If \(...
Using Vieta's formulas:
Sum of roots \( = -rac{b}{a} = 3 + (-2) = 1 \).
Product of roots \( = rac{c}{a} = 3 imes (-2) = -6 \).
Therefore, \( b = -1 \) and \( c = -6 \).
The expression is \( b^2 - 4ac = (-1)^2 - 4(1)(-6) = 1 + 24 = 25 \).
\( S_{n-1} = 3(n-1)^2 + 5(n-1) = 3(n^2 - 2n + 1) + 5n - 5 = 3n^2 - 6n...
\( a_n = S_n - S_{n-1} = (3n^2 + 5n) - (3n^2 - n - 2) = 6n + 2 \)
The 10th term is \( a_{10} = 6(10) + 2 = 60 + 2 = 62 \).
A circle is inscribed in a right triangle with legs of 8 and 15. Find...

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