Zeroes of the polynomial
x 2 - 2x+ 1 are
Answers
Answer:
42 are the answer is the questions that you asked
Answer:
The root of the given quadratic equation is x = 1.
Step-by-step-explanation:
The given quadratic polynomial is x² - 2x + 1.
Now,
x² - 2x + 1
⇒ x² - x - x + 1
⇒ x ( x - 1 ) - 1 ( x - 1 )
⇒ ( x - 1 ) ( x - 1 )
∴ The factors of the given quadratic equation are ( x - 1 ) & ( x - 1 ).
By equating the factor to 0, we get,
( x - 1 ) = 0
⇒ x - 1 = 0
⇒ x = 0 + 1
⇒ x = 1
∴ The root of the given quadratic equation is x = 1.
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Additional Information:
1. Quadratic Equation:
An equation having a degree "2" is called quadratic equation.
The general form of a quadratic equation is ax² + bx + c = 0.
Where, a, b, c are real numbers and a ≠ 0.
2. Roots of Quadratic Equation:
The root means nothing but the value of the variable given in the equation for which the LHS becomes equal to RHS of the equation.
3. Methods of solving quadratic equation:
There are mainly three methods to solve or find the roots of the quadratic equation.
A) Factorization method
B) Completing square method
C) Formula method
4. Solution of Quadratic Equation by Factorisation:
1. Write the given equation in the form of ax² + bx + c = 0.
2. Find the two linear factors of the LHS of the equation.
3. Equate each of those linear factors to zero.
4. Solve each equation obtained in 3 and write the roots of the given quadratic equation.