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Ilya [14]
2 years ago
8

What are the steps to solve6x^2+13x-5=0

Mathematics
1 answer:
serg [7]2 years ago
4 0
\begin{gathered} \text{Given} \\ 6x^2+13x-5=0 \end{gathered}

The given quadratic equation is already in the standard form with the following coefficients.

a = 6, b = 13, and c = -5.

Using these coefficients, solve for x using the quadratic formula.

\begin{gathered} x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a } \\ x = \frac{ -13 \pm \sqrt{13^2 - 4(6)(-5)}}{ 2(6) } \\ x=\frac{-13\pm\sqrt{169-(-120)}}{12} \\ x=\frac{-13\pm\sqrt{169+120}}{12} \\ x = \frac{ -13 \pm \sqrt{289}}{ 12 } \\ x = \frac{ -13 \pm 17\, }{ 12 } \end{gathered}

Solve for the two values of x and we get

\begin{gathered} x_1=\frac{-13+17\,}{12} \\ x_1=\frac{4}{12} \\ x_1=\frac{1}{3} \\  \\ x_2=\frac{-13-17\,}{12} \\ x_2=\frac{-30}{12} \\ x_2=-\frac{5}{2} \end{gathered}

Therefore, the solution to the given equation is

x=\frac{1}{3}\text{ and }x=-\frac{5}{2}

You might be interested in
The slope between (3, 9) & (6, 12) m=
vivado [14]

Answer: m=1

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

Where

y2=12

y1=9

x2=6

x1=3

so plug in your values in the slop formula:

m=(12-9)/(6-3)

=3/3

=1

6 0
3 years ago
Flora used 1/5 of her flour to make some pies and 4/15 of it to bake some cakes. She also gave her friend 750g of flour. She had
MariettaO [177]

According to the information given, building and solving an expression, it is found that she used 1400 g of flour for the cakes.

<h3>How was the flour divided?</h3>
  • Her initial amount was of x.
  • She used \frac{x}{5} to make some pies.
  • She used \frac{4x}{15} to bake some cakes.
  • She gave her friend 750g, and had 850g left.

Hence, the <em>expression </em>is:

\frac{x}{5} + \frac{4x}{15} + 750 + 850 = x

x - \frac{x}{5} - \frac{4x}{15} = 1600

\frac{15x - 3x - 4x}{15} = 1600

8x = 15(1600)

x = 15(200)

x = 3000

For the cakes:

C = \frac{x}{5} + \frac{4x}{15} = \frac{3000}{5} + \frac{4(3000)}{15} = 600 + 800 = 1400

She used 1400 g of flour for the cakes.

A similar problem, also involving an expression, is given at brainly.com/question/26142208

6 0
2 years ago
Happy thanksgiving everybody and can anybody help me with this ????
katen-ka-za [31]

Answer:

I believe it is A:1 but I could be wrong

5 0
3 years ago
Carrie has 32 ounces of ice cream to divide equally among 10 people.How much ice cream will each person get
netineya [11]

Answer:

If 32 ounces of ice cream is divided equally among 10 people then each person will get 3.2 ounces of the ice cream each.

Step-by-step explanation:


3 0
4 years ago
PLS HELP
fenix001 [56]

Answer:

April

Step-by-step explanation:

To solve, you find the maximum of the polynomial function. You can do this by either graphing or plugging in the values in a T chart.

I graphed the function, provided down below.

As you can see, the highest value in the graph is the middle most point, aka (4,1). Count down the months of the year to 4, and you'll find that April is the 4th month of the year.

6 0
3 years ago
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