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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