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What is the discrimant of x^2-3x+2=0

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monique06 | Valedictorian

Posted May 30, 2013 at 12:59 PM via web

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What is the discrimant of x^2-3x+2=0

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crmhaske | College Teacher | (Level 3) Associate Educator

Posted May 30, 2013 at 2:33 PM (Answer #1)

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The discriminant of a quadratic function is defined as:

`b^2-4ac`

If this value is positive, then there exists real roots of the quadratic.  However, if it is negative, the roots are complex.  We know this because the formula comes from the quadratic formula:

`x=(-b+-sqrt(b^2-4ac))/(2a)`

And any number that contains the square root of a negative number is a complex number (`i=sqrt(-1)` ).

For` x^2-3x+2` : a=1; b=-3; c=2

`(-3)^2-4(1)(2)=9-8=1gt0`

Therefore, the roots of the function are real.

Sources:

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atyourservice | Student, Grade 10 | Valedictorian

Posted February 24, 2014 at 2:45 AM (Answer #2)

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`x^2-3x+2=0 `   to find the discriminant use the formula `b^2-4ac`

`a= 1`    `b= -3 `  `c=2`

`-3^2-4(1)(2)`  simplify it

`9-8=1 `   the discriminant is 1 meaning the problem has 2 real solutions as 1 is bigger than 0

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