Find the sum and the product of the following equationsa.) 2x^2-8x+5=0b.)3x^2-9x=0c.)-.5 (in fraction form)x^2-3x+2=0

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

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The sum and the product are:

x1 + x2 = S

x1*x2 = P

We'll use Viete's relations to calculate the sum and the product:

x1 + x2 = -b/a

x1*x2 = c/a

a,b,c are the coefficients of the given equations.

a.) 2x^2-8x+5=0

We'll identify a,b,c:

a = 2 , b = -8 , c = 5

x1 + x2 = -(-8)/2

x1 + x2 = 4

x1*x2 = 5/2

The sum S = 4 and the product is P = 5/2.


b.) 3x^2-9x=0

We'll identify a,b,c:

a = 3, b =-9 , c = 0

x1 + x2 = -(-9/3)

S = 3

x1*x2 = 0/3

P = 0

The sum S = 3 and the product is P = 0.


c.)x^2-3x+2=0

We'll identify a,b,c:

a = 1 , b = -3 , c = 2

x1 + x2 = 3

x1*x2 = 2

The sum S = 3 and the product is P = 2.

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