Question

(ii) (x-2)(x+4)+9=0​

Answer 1

2,-4 are the zeroes of the quadratic equation

Quadratic equation=x^2+2x-8=0

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Answer 2

Answer:

hey there !

hey there ! have a look at the solution ..

Simplifying

(X + -2)(x + 4) + 9 = 0

Reorder the terms:

(-2 + X)(4 + x) + 9 = 0

Multiply

(-2 + X) * (4 + x) (-2(4 + x) + X(4 + x)) + 9 = 0

((4 * -2 + x * -2) + X(4 + x)) + 9 = 0 ((-8 + -2x) + X(4 + x)) + 9 = 0

(-8 + -2x + (4 * X + x * X)) + 9 = 0

(-8 + -2x + (4X + xX)) + 9 = 0

Reorder the terms:

(-8 + 4X + -2x + xX) + 9 = 0 (-8 + 4X + -2x + xX) + 9 = 0

Reorder the terms:

-8 + 9 + 4X + -2x + xX = 0

Combine like terms:

-8 + 9 = 1 1 + 4X + -2x + xX = 0

Solving

1 + 4X + -2x + xX = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + 4X + -2x + -1 + xX = 0 + -1

Reorder the terms:

1 + -1 + 4X + -2x + xX = 0 + -1

Combine like terms:

1 + -1 = 0 0 + 4X + -2x + xX = 0 + -1 4X + -2x + xX = 0 + -1

Combine like terms:

0 + -1 = -1 4X + -2x + xX = -1

Add '2x' to each side of the equation.

4X + -2x + 2x + xX = -1 + 2x

Combine like terms:

-2x + 2x = 0 4X + 0 + xX = -1 + 2x 4X + xX = -1 + 2x

Reorder the terms:

1 + 4X + -2x + xX = -1 + 2x + 1 + -2x

Reorder the terms:

1 + 4X + -2x + xX = -1 + 1 + 2x + -2x

Combine like terms:

-1 + 1 = 0 1 + 4X + -2x + xX = 0 + 2x + -2x 1 + 4X + -2x + xX = 2x + -2x

Combine like terms:

2x + -2x = 0 1 + 4X + -2x + xX = 0

The solution to this equation could not be determined.

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