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Answered

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sum of roots and product of roots of:2x(x-1)+5=0
3x^2-x(x-1)=3.​

Sagot :

Nyle07idn

Step-by-step explanation:

Solution for 2x(x-1)+5=0

First, transform 2x(x-1)+5=0 into general quadratic equation. The answer will be 2x^2 - 2x + 5 = 0.

  • The formula for finding the sum of the roots of a quadratic equation is s = -b/a.

1. Identify the values of a, b & c

2x^2 - 2x + 5 = 0

a = 2

b = -2

c = 5

2. Substitute the values to the formula s = -b/a

s = -b/a

s = 2/2

s = 1

  • The formula for finding the product of the roots of a quadratic equation is p = c/a.

1. Identify the values of a, b & c

2x^2 - 2x + 5 = 0

a = 2

b = -2

c = 5

2. Substitute the values to the formula p = c/a

p = c/a

p = 5/2

Solution for 3x^2-x(x-1)=3

First, transform 3x^2-x(x-1)=3 into general quadratic equation. The answer will be 2x^2 + x - 3 = 0.

  • The formula for finding the sum of the roots of a quadratic equation is s = -b/a.

1. Identify the values of a, b & c

2x^2 + x - 3 = 0

a = 2

b = 1

c = -3

2. Substitute the values to the formula s = -b/a

s = -b/a

s = -1/2

  • The formula for finding the product of the roots of a quadratic equation is p = c/a.

1. Identify the values of a, b & c

2x^2 + x - 3 = 0

a = 2

b = 1

c = -3

2. Substitute the values to the formula p = c/a

p = c/a

p = -3/2

- I hope this can help you. :)

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