Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable..

Mathematics

2 answers:

Vesna [10]3 years ago

4 0

The answer is 12/x-7, x ≠ 7, x ≠ −3

Softa [21]3 years ago

3 0

To simplify the expression stated, it is better to write it in the numerical form. The statement is:

quantity 12 x plus 36 over quantity x squared minus 4 x minus 21

The numerical form is:

12x+36 / (x²-4x-21)

Simplifying,
12x+36 / (x²-4x-21)
12 (x+3) / (x+3)(x-7)

We can cancel the x+3 term, leaving only:
12/(x-7)

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if a quadratic equation with real coefficients has a discriminant of -36 then what type of roots does it have

Aleks04 [339]

Step-by-step explanation:

We have,

If a quadratic equation with real coefficients has a discriminant of -36.

The general form of quadratic equation is :

$ax^2+bx+c=0$

The discriminant of this equation is : $D=b^2-4ac$

If D=0, it will have 1 real roots

If D>0, it will have 2 real roots

If D<0, it will have no real roots

We have,

D = -36 < 0, so, the quadratic equation will have no real roots.

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