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CORRECT QUESTION :-
★ Find the zeros of the quadratic polynomial √2x² + 7x + 5√2 .
GIVEN :-
TO FIND :-
SOLUTION :-
→ √2x² + 7x + 5√2 = 0
By splitting the middle term,
→ √2x² + 5x + 2x + 5√2 = 0
Taking common,
→ x(√2x + 5) + √2(√2x + 5) = 0
→ (√2x + 5) , (x + √2) = 0
→ √2x + 5 = 0 , x + √2 = 0
→ √2x = -5 , x = -√2
→ x = -5/√2 , x = -√2
→ x = -5/√2 , x = -√2
❏ Hence the Zeros of Quadratic polynomial are -5/√2 and -√2.
ADDITIONAL INFORMATION :-
Quadratic Formula,
→ x = [-b ± √(b² - 4ac)]/2a
The use of the quadratic Formula is to find the values of the root of the Quadratic polynomial .