write a quadratic equation whose roots are the solutions to 2x+y=7 and x-y=2?
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solve both linear equation
2x+y=7
x-y=2
x=3, y=1
roots are 3 and 1
sum of roots = 4
product of roots = 3
General equation of quadratic
x^2-(sum of roots)x+(product of roots)=0
x^2-4x+3=0
2x+y=7
x-y=2
x=3, y=1
roots are 3 and 1
sum of roots = 4
product of roots = 3
General equation of quadratic
x^2-(sum of roots)x+(product of roots)=0
x^2-4x+3=0
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