Math, asked by shaikaman1112, 10 months ago

Find the zeros of the quadratic polynomial 2√2xsquare-9x+5√2

Answers

Answered by warylucknow
1

The zeros of the quadratic equation are √2 and 5/2√2.

Step-by-step explanation:

Given:

The quadratic equation is:

2√2x² - 9x + 5√2

Solution:

The zeros of the quadratic equation can be computed by factorizing the expression.

Factorize the expression by splitting the middle term as follows:

2√2x² - 9x + 5√2 = 2√2x² - 4x - 5x + 5√2

                             = 2√2x (x - √2) - 5 (x - √2)

                             = (x - √2) (2√2x - 5)

If (x - √2) = 0, then the value of x is √2.

If (2√2x - 5) = 0, then the value of x is 5/2√2.

Thus, the zeros of the quadratic equation are √2 and 5/2√2.

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