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SOLUTION: determine whether the equation has 2 solutions, 1 solution, or no solution. SHOW WORK! PUT IN STANDARD FORM! 22)x^2-3x+2=0 24)-3x^2+5x-1=0 26)x^2-2x+4=0 28)3x^2-6x+3=0 30
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-> SOLUTION: determine whether the equation has 2 solutions, 1 solution, or no solution. SHOW WORK! PUT IN STANDARD FORM! 22)x^2-3x+2=0 24)-3x^2+5x-1=0 26)x^2-2x+4=0 28)3x^2-6x+3=0 30
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Question 119529
This question is from textbook
:
determine whether the equation has 2 solutions, 1 solution, or no solution. SHOW WORK! PUT IN STANDARD FORM!
22)x^2-3x+2=0
24)-3x^2+5x-1=0
26)x^2-2x+4=0
28)3x^2-6x+3=0
30)-5x^2+6x-6=0
This question is from textbook
Answer by
jim_thompson5910(33401)
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#22
From the quadratic formula
the discriminant consists of all of the terms in the square root. So the discriminant is
the discriminant tells us how many solutions (and what type of solutions) we can expect for any quadratic.
Now let's find the discriminant for
:
Plug in a=1, b=-3, c=2
Square -3 to get 9
Multiply -4*1*2 to get -8
Combine 9 and -8 to get 1
Since the discriminant equals 1 (which is greater than zero) , this means there are two real solutions. Remember if the discriminant is greater than zero, then the quadratic will have two real solutions.
#24
From the quadratic formula
the discriminant consists of all of the terms in the square root. So the discriminant is
the discriminant tells us how many solutions (and what type of solutions) we can expect for any quadratic.
Now let's find the discriminant for
:
Plug in a=-3, b=5, c=-1
Square 5 to get 25
Multiply -4*-3*-1 to get -12
Combine 25 and -12 to get 13
Since the discriminant equals 13 (which is greater than zero) , this means there are two real solutions. Remember if the discriminant is greater than zero, then the quadratic will have two real solutions.