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Omni-MATH / Solve the system of simultaneous equations

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Solve the system of simultaneous equations x−1y−2w+3z=1,\sqrt x - \frac 1y - 2w + 3z = 1,x+1y2−4w2−9z2=3,x + \frac{1}{y^2} - 4w^2 - 9z^2 = 3,xx−1y3−8w3+27z3=−5,x \sqrt x - \frac{1}{y^3} - 8w^3 + 27z^3 = -5,x2+1y4−16w4−81z4=15.x^2 + \frac{1}{y^4} - 16w^4 - 81z^4 = 15.
Plain-text mathematical notation (without MathML)
Solve the system of simultaneous equations
√(x)−(1)/(y)−2w+3z=1,x+(1)/(y²)−4w²−9z²=3,x√(x)−(1)/(y³)−8w³+27z³=−5,x²+(1)/(y⁴)−16w⁴−81z⁴=15.
Original LaTeX notation
Solve the system of simultaneous equations
\[\sqrt x - \frac 1y - 2w + 3z = 1,\]\[x + \frac{1}{y^2} - 4w^2 - 9z^2 = 3,\]\[x \sqrt x - \frac{1}{y^3} - 8w^3 + 27z^3 = -5,\]\[x^2 + \frac{1}{y^4} - 16w^4 - 81z^4 = 15.\]

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Source and history

task_id
513a11e3-59bc-56e8-b352-0ff566afb150
task_key
test--513a11e3-59bc-56e8-b352-0ff566afb150
task_revision_id
1
config / split
/ test

Official source

initial import