Write the quadratic equation whose roots are -1 and -2
Answers
Answered by
12
Hye mate.
_______
Given,
Roots of the quadratic equation = -1 , -2
Thus,
( x + 1 ) ( x + 2 ) is the factor of the roots
= x ( x + 2 ) + 1 ( x + 2 )
= x^2 + 2x + x + 2
= x^2 + 3x + 2 , which is the req.d Quadratic Equation.
Hope it helps ✓✓
_______
Given,
Roots of the quadratic equation = -1 , -2
Thus,
( x + 1 ) ( x + 2 ) is the factor of the roots
= x ( x + 2 ) + 1 ( x + 2 )
= x^2 + 2x + x + 2
= x^2 + 3x + 2 , which is the req.d Quadratic Equation.
Hope it helps ✓✓
Answered by
0
The quadratic equation having roots -1 and -2 is x²+3x+2 = 0.
Given,
The roots of a quadratic equation are -1 and -2.
To Find,
The quadratic equation.
Solution,
The formula for calculating the quadratic equation when its roots are given is
x²-(sum of roots)x+(product of roots) = 0
Now, the given roots are -1 and -2.
So,
Sum of roots = -1+(-2) = -1-2 = -3
Product of roots = (-1)(-2) = 2
The required quadratic equation will be
x²-(-3)x+(2) = 0
x²+3x+2 = 0
Hence, the quadratic equation having roots -1 and -2 is x²+3x+2 = 0.
#SPJ3
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