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nadya68 [22]
3 years ago
11

Consider the quadratic equation below. 4x^2-5=3x+4 Determine the correct set-up for solving the equation using the quadratic for

mula.
Mathematics
1 answer:
Kipish [7]3 years ago
4 0
4x²-5=3x+4
4x²-3x-9=0

x=(3±√((-3)²-4*4*-9))/2*4

x=3±√(9+144) /8

x=(3±√153) /8

x=⅜±√153/8
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ella [17]
F(-3) = 1 

Regards :))

8 0
3 years ago
Solve the question: (-4)+(-1)+2+5+...+x=437
Alex Ar [27]
The sequence is an arithmetic sequence with
a₁ = -4

d = a₂ - a₁
d = -1 - (-4)
d = -1 + 4
d = 3

an = x

Sn = 437


General formula in arithmetic sequence
Formula to find nth term
an = a₁ + d(n - 1)
Formula to find sum of sequence (sn)
Sn = n/2 (a₁ + an)

We have to make an equation system based on the problem
plug the numbers into the formula
First equation
an = a₁ + d(n - 1)
x = -4 + 3(n - 1)
x = -4 + 3n - 3
x = 3n - 7

Second equation
Sn = n/2 (a₁ + an)
n/2 (a₁ + an) = 437
n/2 (-4 + x) = 437
n(x -  4) = 874
xn - 4n = 874

Solve the equation system by subtitution method
Subtitute x with 3n - 7 in the second equation
xn - 4n = 874
(3n - 7)n - 4n = 874
3n² - 7n - 4n = 874
3n² - 11n - 874 = 0
(3n + 46)(n - 19) = 0
n = -46/3 or n = 19
Because the number of terms shouldn't be negative, -46/3 isn't required, so the value of n is 19.

Solve for x, back to the first equatin
x = 3n - 7
x = 3(19) - 7
x = 57 - 7
x = 50

The solution is 50
6 0
3 years ago
Sally read 13 books during this month. her brother read 7 books. one fourth out of all books they read were non fiction. how man
AveGali [126]
Sally read 3.25 and her brother read 1.75 non fiction

they all read 5 non fiction books all together
7 0
3 years ago
I need help please!!!
slamgirl [31]

Answer:

use desmos

Step-by-step explanation:

Desmos is a graphing app and is really good and do like my post please

6 0
2 years ago
-2x=-x-3 I don't know how to solve it
Reil [10]

Answer:

<h2>x = 3</h2>

Step-by-step explanation:

-2x=-x-3\qquad\text{add}\ x\ \text{to both sides}\\\\-2x+x=-x+x-3\\\\-x=-3\qquad\text{change the signs}\\\\x=3

5 0
3 years ago
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