Question

5. Find the roots of the Quadratic equation x² + 2x - 3 = 0.
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Answer 1

The sum of roots of the quadratic polynomials is -2.

Step-by-step explanation:

Since we have given that

x^2+2x-3=0

Since we know that

Sum of zeroes = \dfrac{-b}{a}

So, it becomes,

\alpha +\beta =\dfrac{-b}{a}\\\\\alpha +\beta =\dfrac{2}{-1}=-2

Hence, the sum of roots of the quadratic polynomials is -2.

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The sum of roots of the quadratic equation x2+2x-3=0

Answer 2

Answer:

The roots are -3 and 1.

Step-by-step explanation:

The quadratic equation is: x² + 2x - 3 = 0.

The equation can be factorized to compute the roots as follows:

$x^{2}+2x-3=0\\x^{2}+3x-x-3=0\\x(x+3)-1(x+3)=0\\(x+3)(x-1)=0$

If (x + 3) = 0, then x = -3.

If (x - 1) = 0, then x = 1.

Thus, the roots are -3 and 1.