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Omni-MATH / If a,b,x, and y are real numbers such that ax+by=3,ax²+by²=7,ax³+by³=16, and ax⁴+by⁴=42, find ax⁵+by⁵

Problem

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problem

If a,b,xa, b, x, and yy are real numbers such that ax+by=3,ax2+by2=7,ax3+by3=16a x+b y=3, a x^{2}+b y^{2}=7, a x^{3}+b y^{3}=16, and ax4+by4=42a x^{4}+b y^{4}=42, find ax5+by5a x^{5}+b y^{5}
Plain-text mathematical notation (without MathML)
If a,b,x, and y are real numbers such that ax+by=3,ax²+by²=7,ax³+by³=16, and ax⁴+by⁴=42, find ax⁵+by⁵
Original LaTeX notation
If $a, b, x$, and $y$ are real numbers such that $a x+b y=3, a x^{2}+b y^{2}=7, a x^{3}+b y^{3}=16$, and $a x^{4}+b y^{4}=42$, find $a x^{5}+b y^{5}$

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Source and history

task_id
8681095f-2199-58da-8a76-eff794e4c9ee
task_key
test--8681095f-2199-58da-8a76-eff794e4c9ee
task_revision_id
1
config / split
/ test

Official source

initial import