If the discriminant is 1, how many roots does the equation have? And how to solve: 3x^(2)-13x+14 through the discriminant?

kybudmanqm

kybudmanqm

Answered question

2022-09-12

If the discriminant is 1, how many roots does the equation have? And how to solve: 3 x 2 13 x + 14 through the discriminant?

Answer & Explanation

lilhova13b3

lilhova13b3

Beginner2022-09-13Added 12 answers

If the discriminant is equal to one, then the equation has two roots.
D = b 2 4 a c = 13 2 4 3 14 = 169 168 = 1
x1= (-b + root of D) / 2a = (13+1) / 2*3 = 14 / 6 = 7/3
x2= (-b - root of D) / 2a = (13-1) / 2*3 = 12/6 = 2

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