If the roots of a quadratic equation are 1±√5, then the product of the roots is:
Solution:
A quadratic equation is an algebraic expression of the second degree in x.
The standard form of a quadratic equation is ax2 + bx + c = 0,
where a, b are the coefficients,
x is the variable, and
c is the constant term.
The roots of a quadratic equation given is 1 ± √5
It can be written as
(1 + √5) and (1 - √5)
By multiplication, we can obtain the product of the roots
(1 + √5)(1 - √5)
Using the algebraic identity a2 - b2 = (a + b)(a - b)
= 1 - √52
= 1 - 5
= -4
Therefore, the product of the roots is -4.
If the roots of a quadratic equation are 1±√5, then the product of the roots is:
Summary:
If the roots of a quadratic equation are 1±√5, then the product of the roots is -4.
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