Greatest Integer Function, Modulus, Roots of an Equation

How do I even begin?
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12 Replies
iTeachChem Helper
@Apu
iTeachChem Helper
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SirLancelotDuLac
Write out the first eqn. as $x^{2}-11x+31+{x}$
TeXit
TeXit5d ago
Lance who?
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SirLancelotDuLac
Then solve for x via quadratic equation as $x=\frac{11\pm\sqrt{121-122+4{x}}}{2}$
TeXit
TeXit5d ago
Lance who?
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SirLancelotDuLac
Okay sorry for disappearing lol, but from here for real roots 4{x}>=1 or {x}>=0.25 $\text{So expression 'ere}=(5.5\pm\sqrt{{x}-0.25})$
TeXit
TeXit5d ago
Lance who?
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SirLancelotDuLac
Since {x}-0.25<1, you can find the fractional part and solve forth (Making cases where sqrt({x}-0.25)+0.5<1 and >1 and so on
iTeachChem
iTeachChem4d ago
gg lance!
silverdew
silverdewOP4d ago
Ohh yes thank you 🛐 +solved @Lance who?
iTeachChem Helper
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