Algebra Questions from Nov 15,2024

Browse the Algebra Q&A Archive for Nov 15,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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358. Решите уравнение, используя введение новой переменной: а) \( \left(x^{2}+6 x\right)^{2}-5\left(x^{2}+6 x\right)-24 \); б) \( \left(x^{2}-2 x-5\right)^{2}-2\left(x^{2}-2 x-5\right)-3 \); -в) \( \left(x^{2}+3 x-25\right)^{2}-2\left(x^{2}+3 x-25\right)--7 \); - ) \( (y+2)^{4}-(y+2)^{2}-12 ; \) д) \( \left(x^{2}+2 x\right)\left(x^{2}+2 x+2\right)-3 ; \) e) \( \left(x^{2}-x-16\right)\left(x^{2}-x+2\right)-88 \); -ж) \( \left(2 x^{2}+7 x-8\right)\left(2 x^{2}+7 x-3\right)-6=0 \) Your answer is incorrect. A line passes through point \( (-8,7) \) and has a slope of \( \frac{5}{4} \). Write an equation in \( A x+B y=C \) form for this line. Use integers for \( A, B \), and \( C \). Write the polynomial \(7x - 4 + 2x^2\) in standard form. (v) \( 2^{3} \cdot 2^{3} \) b) \( 2^{50} \cdot 2^{47} \) 3. Mathon went to Inkhorn Bookstore where he got a discount of P15 from a book that was marked \( 20 \% \) off. Then, he went to Lofty Bookstore to check out one of their limited edition books that is now discounted at \( 30 \% \). If Mathon got a discount on the book from the Lofty Bookstore for the same amount as the original price of the book he got from Inkhorn Bookstore, how much is the difference between the two books' original prices? Solve for \( x \) by completing the square: \( x^{2}=-3 x+10 \) Pedro y Juan tienen entre ambos \( \$ 45.000 \). Si Pedro tiene el triple de Juan. ¿Cuánto dinero tiene Juan? N) \( 2^{3} \cdot 2^{3} \) b) \( 2^{50}: 2^{47} \) Solve for \( x \) if \( x=\sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+\ldots}}}}} \) e. \( 2 x^{2}+7 x=4 \)
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