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Bogdan [553]
3 years ago
15

Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?

Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

Answer:c

Step-by-step explanation:

Kruka [31]3 years ago
5 0
How the quadratic formula works:

For any quadratic equation ax² + bx + c = 0, the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0

Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.

Plug these into our quadratic formula and solve.

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(7)(-7)}}{2(7)}=\boxed{\frac{1\pm\sqrt{197}}{14}

There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.
You might be interested in
A family paid $26.400 as a down payment for a home. If this represents 16% of the price of the home, find the price of the home.
Vlada [557]
The correct answer is:

How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 26,400, P% is 16%, so the equation is 26,400/16% = X
Convert the percentage to a decimal by dividing by 100.
Converting 16% to a decimal: 16/100 = 0.16
Substitute 0.16 for 16% in the equation: 26,400/0.16 = X
Do the math: 26,400/0.16 = X
X = 165,000
So $ 165,000 is the price of the home.

I hope this helps you!!
7 0
3 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x
OleMash [197]

ANSWER



x=1.39 to the nearest hundredth.



EXPLANATION



We have the equation,



0=2x^2+3x-8



Which can be rewritten as



2x^2+3x-8=0

The question demands the use of the quadratic formula.

Comparing this to the general quadratic equation;

ax^2+bx+c=0


a=2,b=3,c=-8


The quadratic formula is given by;


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


We now substitute all the values in to the formula;


x=\frac{-3\pm\sqrt{(3)^2-4(2)(-8)}}{2(2)}

We simplify to obtain;

x=\frac{-3\pm\sqrt{9+64}}{4}


x=\frac{-3\pm\sqrt{73}}{4}


We now split the plus or minus sign to obtain;


x=\frac{-3-\sqrt{73}}{4}


This implies that;


x=-2.89

Or

x=\frac{-3+\sqrt{73}}{4}


This will evaluate to;


x=1.39

Hence, the positive solution rounded to the nearest hundredth is

x \approx 1.39

6 0
3 years ago
Read 3 more answers
Show all the steps that you use to solve this problem.
Monica [59]

Answer:

11

Step-by-step explanation:

5 x 2 =10

10+6=16

16-1=15

5 0
2 years ago
Read 2 more answers
Find the values of x and y.​
olchik [2.2K]

Answer:

value of x = 26

value of y = 26 \|2

( 26 root 2 )

Step-by-step explanation:

here's the solution : -

=》

\sin(45)  =   \frac{perpendicular}{hypotenuse}

=》

\frac{1}{ \sqrt{2} }  =  \frac{26}{y}

=》

y = 26 \sqrt{2}

and

\tan(45)  =  \frac{perpendicular}{base}

=》

1 =  \frac{26}{x}

=》

x = 26

8 0
3 years ago
An ice cream shop has 5 flavors. Carlos wants to buy a five-scoop cone with 5 different flavors. How many cones could he buy if
icang [17]
I think the answer is E
3 0
2 years ago
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