Question

Find zeroes of the given quadratic polynomial x^2 - 5​

Answer 1

Answer:

Zeros are x = √5 x= -√5

Step by step explanation:-

x²-5 = 0

x²- (√5)² = 0

(x+√5)(x-√5) = 0

x + √5 = 0 x - √5 = 0

x = -√5 x = √5

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Answer 2

Given :-

x² - 5  is a quadratic polynomial

To Find :-

Zeroes of this polynomial

Solution :-

As we know that,

• If value of a polynomial f( x ) becomes zero at x = a, then a is the zero or root of f( x ).

❍  Let's say, the zeroes of this polynomial be α and β.

⤳ x² - 5  = 0

⤳ x² = 0 + 5

⤳ x² = 5

⤳ x = ± √5

T H E R E F O R E ,

α = √5

β = -√5

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• Henceforth, the zeroes of the given quadratic polynomial are √5 and -√5.