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4x^2 = − 9x − 4 quadratic

1 Answer

4 votes

Answer:

Yes, see the explanation.

Roots:

x =
(63)/(8), or x= -10

Explanation:

A quadratic fomrual in standard form is;

ax^(2) + bx + c = 0

The given equation:

4x^2 = -9x - 4

Maniplate the equation using inverse operations

4x^2 = -9x - 4

-4x^2 -4x^2

0 = -4x^2 - 9x - 4

Yes, this is a quadratic equation, because it fits the requirement of being able to be written in standard form.

Now find its roots:

-4x^2 -9x - 4 = 0

remember,

x =
\frac{(-b) +- (\sqrt{b^(2) - 4ac }) }{2a}

Substitute in the given values

x=
\frac{(-(-9)) +- (\sqrt{(-9)^(2) - 4(-4)(-4)}) }{2(-4)}

Simplify,

x =
(9 +- (√(5184)) )/(-8)

x =
(9 +- 72)/(-8)

x =
(63)/(8)

or

x= -10

User Mknecht
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