Every quadratic equation has exactly one root, write whether the following statement is true or false
Solution:
We have to state if every quadratic equation has exactly one root.
Quadratic equations are second-degree algebraic expressions.
In other words, a quadratic equation is an “equation of degree 2” that has two answers for x called the roots of the quadratic equations and are designated as (α, β).
The standard form of a quadratic equation is ax2 + bx + c = 0 in variable x.
Where a, b, and c are real numbers and a ≠ 0.
So, it is clear that all quadratic equations have 2 roots.
Therefore, it is false.
✦ Try This: Determine the roots of the quadratic equation x² - 4 = 0
Given, the quadratic equation is x² - 4 = 0
We have to determine the roots of the equation.
x² = 4
Taking square root,
x = ±2
So, it is clear that the roots of the equation are 2 and -2.
Therefore, all quadratic equations have 2 roots
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 4
NCERT Exemplar Class 10 Maths Exercise 4.2 Problem 2 (i)
Every quadratic equation has exactly one root, write whether the following statement is true or false
Summary:
The assumption ‘every quadratic equation has exactly one root’ is a false statement.
☛ Related Questions:
- Every quadratic equation has at least one real root, write whether the following statement is true o . . . .
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