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(√x-6)(2x^2-x-15)=0​ equation

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Numerical solution:

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The solution

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/  ___    \ /   2         \    
\\/ x  - 6/*\2*x  - x - 15/ = 0
(x6)((2x2x)15)=0\left(\sqrt{x} - 6\right) \left(\left(2 x^{2} - x\right) - 15\right) = 0
Sum and product of roots [src]
sum
3 - 5/2 + 36
(52+3)+36\left(- \frac{5}{2} + 3\right) + 36
=
73/2
732\frac{73}{2}
product
3*(-5)   
------*36
  2      
36(5)3236 \frac{\left(-5\right) 3}{2}
=
-270
270-270
-270
Rapid solution [src]
x1 = -5/2
x1=52x_{1} = - \frac{5}{2}
x2 = 3
x2=3x_{2} = 3
x3 = 36
x3=36x_{3} = 36
x3 = 36
Numerical answer [src]
x1 = -2.5
x2 = 3.0
x3 = 36.0
x4 = -2.5 - 3.19181816302611e-19*i
x5 = -2.50000000000002 - 1.34908062879273e-15*i
x6 = -2.5 + 3.29399761602204e-17*i
x6 = -2.5 + 3.29399761602204e-17*i