factaris 2x²+9²+10
solve = on the comparing above eq from ax²+bx+c
=a=2,b=9,c=10
=a×c=2×10=20
=2x²(4+5)x+10
=2x²(4x+5x)+10
=2x²+4x+5x+10
=2x(x+2) + 5(x+2)
Ans = (x +2) (2x +5)
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Answer:
Only if it can be put in the form ax2 + bx + c = 0, and a is not zero.
The name comes from "quad" meaning square, So, the biggest clue is that highest power must be a square (in other words x2).
These are all quadratic equations in disguise:
In disguise In standard form a, b and c
x2 = 3x -1 x2 - 3x + 1 = 0 a=1, b=-3, c=1
2(x2 - 2x) = 5 2x2 - 4x - 5 = 0 a=2, b=-4, c=-5
x(x-1) = 3 x2 - x - 3 = 0 a=1, b=-1, c=-3
5 + 1/x - 1/x2 = 0 5x2 + x - 1 = 0 a=5, b=1, c=-1
How does this work?
The solution(s) to a quadratic equation can be calculated using the Quadratic Formula:
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here is your ans hope it's help u.....
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