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Arturiano [62]
3 years ago
11

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

Mathematics
2 answers:
marishachu [46]3 years ago
7 0

Answer:

Thus, the two root of the given quadratic equation  x^2-6=-x  is 2 and -3 .

Step-by-step explanation:

Consider, the given Quadratic equation, x^2-6=-x

This can be written as ,  x^2+x-6=0

We have to solve using quadratic formula,

For a given quadratic equation ax^2+bx+c=0 we can find roots using,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}  ...........(1)

Where,  \sqrt{b^2-4ac} is the discriminant.

Here, a = 1 , b = 1 , c = -6

Substitute in (1) , we get,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

\Rightarrow x=\frac{-(1)\pm\sqrt{(1)^2-4\cdot 1 \cdot (-6)}}{2 \cdot 1}

\Rightarrow x=\frac{-1\pm\sqrt{25}}{2}

\Rightarrow x=\frac{-1\pm 5}{2}

\Rightarrow x_1=\frac{-1+5}{2} and \Rightarrow x_2=\frac{-1-5}{2}

\Rightarrow x_1=\frac{4}{2} and \Rightarrow x_2=\frac{-6}{2}

\Rightarrow x_1=2 and \Rightarrow x_2=-3

Thus, the two root of the given quadratic equation x^2-6=-x is 2 and -3 .

tangare [24]3 years ago
4 0

Answer:

The final answers are x = 2 OR x = -3.

Step-by-step explanation:

Given the equation is x^2 -6 = -x

Rewriting it in quadratic form as:- x^2 +x -6 = 0.

a = 1, b = 1, c = -6.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( -1 ± √(1 -4*1*-6) ) / (2*1)

x = ( -1 ± √(1 +24) ) / (2)

x = ( -1 ± √(25) ) / (2)

x = ( -1 ± 5 ) / (2)

x = (-1+5) / (2) OR x = (-1-5) / (2)

x = 4/2 OR x = -6/2

x = 2 OR x = -3

Hence, final answers are x = 2 OR x = -3.

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4)<br> Write an inequality for the graph below. If necessary, use<br> &lt;= for &lt; or &gt;= for .
navik [9.2K]

9514 1404 393

Answer:

  y < -1/4x -1

Step-by-step explanation:

The boundary line appears to go through the points (-4, 0) and (0, -1). This tells you it has a "rise" of -1 for a "run" of 4. The slope is ...

  m = rise/run = -1/4

The y-intercept (b) is the point where the y-axis is crossed. The slope-intercept equation of the boundary line is ...

  y = mx + b

  y = -1/4x -1

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The boundary line is dashed, so is not included in the solution set. The shading is below the line, so all y-values less than (but not equal to) the boundary line are in the solution set:

  y < -1/4x -1

6 0
3 years ago
What is the discriminant of the quadratic equation
kkurt [141]
The discriminant is  b^2 -4ac
a = 1
b = -2
c = 4

discriminant = 4 -4 * 1 * 4 =
4  -16 =
 -12
I get MINUS 12 as the answer but that isn't one of the choices.





7 0
3 years ago
ASAP 55 points Which expression is equivalent to ((x^(-4)y)/(x^(-9)y^(5)))^(-2) assume x = 0 ,y = 0
german

Answer:

I thought if you try to do an exponent on a zero, then the answer would always be undefined...

Step-by-step explanation:

6 0
3 years ago
86 is 45% of what number
Alik [6]
Hello there! We are talking about 86 being part of a number, so we are looking for the whole. To find the number we are looking for, we can write and solve a proportion. Set it up like this:

86/x = 45/100

86 is 45% of a number. We know the part, so now we are looking for the whole. 45% is part of 100%, so we put that part together. Cross multiply the digits. 100 * 86 is 8,600. 45 * x is 45x. That simplifies to 8,600 = 45x. Now, divide each side by 45 to isolate the x. 45x/45 cancels out. 8,600/45 is 191.1111111 or 191 1/9 in fraction form. There. x = 191 1/9 86 is 45% or 191 1/9

Note: Or, if you have to round to the nearest whole number, the answer is 191, or if you have to round to the nearest tenth, the answer is 191.1. It all depends on if the answer needs to be rounded or exact.
4 0
3 years ago
An artist agrees to paint a landscape painting at 0.30 per square inch. if the painting is 13 inches by 17 inches, how much shou
Yuri [45]
We know that
[area of the painting]=13 in* 17 in-----> 221 in²

if a<span>n artist  painting at
 $0.30 per --------------> 1 in</span>²
x$--------------> 221 in²
X=221*0.30------> x=$66.30

the answer is
$66.30
8 0
3 years ago
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