if two zeros if the quadratic equation. x²+(a+2)x+b are 3 and 4 then find a and b
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⭐Solution ⭐
✒ given here
x²+(a+3)x+b = 0.....(1)
root of this equation are 3 and 4.
✏we know ,
sum of roots = -(coefficient of x)/(coefficient of x²)
(4+3)= -(a+3)
=> -(a+3)= 7
=> a = -7-3
=> a = -10
And,
Product of roots = (constant part)/(coefficients of x²)
(3×4)= b
=> b = 12
⏩Thus:-
Value of a = -10
Value of b = 12
✏Hopes it's right and helps u.
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