<PRE><B>Question 823533</B>
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a = x
b = 2x - 1
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17 = sqrt( (2x - 1)(2x - 1) + xx )
289 = (2x - 1)(2x - 1) + xx
289 = 4xx - 4x + 1 + xx
5xx - 4x - 288 = 0
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the above quadratic equation is in standard form, with a=5, b=-4, and c=-290
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
5 -4 -288
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has two real roots (the x-intercepts), which are:
x = 8
x = -7.2
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negative length doesn&#39;t make sense for this problem, so use the positive root
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answer:
a = 8 cm
b = 15 cm
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php</PRE>