Sum of the roots. Quadratic equation x2-4x=0. product of roots
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Answered by
11
Answer:
x² - 4x = 0
⇒ x(x - 4) = 0
⇒ x = 0
OR
⇒ x - 4 = 0
⇒ x = 4
∴ x = 0 AND x = 4
.
Answered by
0
The sum of the roots is - 4 and the product of roots is = 0
Given:
Quadratic equation x²- 4x = 0
To find:
The sum and the product of the roots.
Solution:
Formula:
For a quadratic equation ax² + bx + c = 0,
Sum of the roots = -b/a
Product of roots = c/a
From the data,
Quadratic equation x²- 4x = 0
Compare equation with ax² + bx + c = 0
=> a = 1, b = - 4 and c = 0
Sum of the roots = -b/a = -4/1 = - 4
Product of roots = c/a = 0/1 = 0
Therefore,
The sum of the roots is - 4 and the product of roots is = 0
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