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What are the solutions of the quadratic equation? 4x^2+9x-9=0

vagabundo [1.1K]

Answer:

$x=3/4$

$x=-3$

Step-by-step explanation:

we have

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

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

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

in this problem we have

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

so

$a=4\\b=9\\c=-9$

substitute in the formula

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

$x=\frac{-9(+/-)\sqrt{225}} {8}$

$x=\frac{-9(+/-)15} {8}$

$x=\frac{-9+15} {8}=3/4$

$x=\frac{-9-15} {8}=-3$

5 0

3 years ago

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elaina wrote two correct variable expressions to represent the phrase “one-fourth of a number.” which variable expressions could

antiseptic1488 [7]

One-fourth of a number

1/4n and n/4

5 0

3 years ago

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Find the perimeter of the figure <br> 13.5 ft<br> 9 ft<br> 12.5 ft

saveliy_v [14]

Answer:

Add all the values up and then divide by 2

Step-by-step explanation:

5 0

3 years ago

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Explain the purposes of inductive and deductive reasoning in mathematics. Be sure to define both inductive reasoning and deducti

Maru [420]

When it comes to deductive reasoning, it is used to reach a logical solution. You start out with the general statement, or hypothesis, and examine all the possibilities so you can reach the final conclusion.

Inductive reasoning is completely opposite - you focus on specific observations, and then make broad generalizations.

Read more on Brainly.com - brainly.com/question/971917#readmore

8 0

3 years ago

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Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the

bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in $x^3 + 3x^2 + 5$ , the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $x^3$ and $3x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $4x^2$ and $x^3$ are not like terms as the variables are same but powers aren't same.

The given polynomials are:

$c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10$

Their sum is

$c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11$

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

$c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9$

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

4 0

2 years ago