Question

If the roots of quadratic equation quadratic equation -1 and 3 then the quadratic equation is.​

Answer 1

Answer:

$\alpha = - 1$

$\beta = 3$

(-1)+(3)=2

Answer 2

The quadratic equation is x²-4x+3=0

Explanation:

Given:

1. The roots of quadratic equation  are -1 and 3

To find:

The quadratic equation

Solution:

==> The roots of the equation

==> x=-1 and x=3

==> Form a equation, which is equal to zero

==> These value can write as

==> x-1=0 and x-3=0

==> Multiply the equation

==> (x-1)(x-3)=0

==> x(x-3)-1(x-3)=0

==> x²-3x-x+3=0

==>  x²-4x+3=0

The quadratic equation is x²-4x+3=0