Mathematics
maihlikhaaw
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What two numbers add to get 10 and multiply to get -60

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Peick965

the numbers are "x" and "y" Therefore, we can suggest this system of equations: x+y=10            ⇒x=10-y xy=-60 Solve this system of equations by substitution method. (10-y)y=-60 10y-y²=-60 y²-10y-60=0 Solve this square equation: y=[10⁺₋√(100+240)]/2=(10⁺₋2√85)/2=5⁺₋√85 We have two solutions: y₁=5-√85    ⇒x₁=10-(5-√85)=5+√85 y₂=5+√85   ⇒x₂=10-(5+√85)=5-√85 Answer: the numbers are (5-√85) and (5+√85)

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