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