What is the the smaller of the solutions? x^2-7x+3=0

1 answer:

4 0

Factor
erm, nope

use quadraticc formula
for
0=ax²+bx+c

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

so

given
0=1x²-7x+3
a=1
b=-7
c=3

$x=\frac{-(-7)+/-\sqrt{(-7)^2-4(1)(3)}}{2(1)}$
$x=\frac{7+/-\sqrt{49-12}}{2}$
$x=\frac{7+/-\sqrt{37}}{2}$
$x=\frac{7+/-\sqrt{37}}{2}$

the solutions are $x=\frac{7+\sqrt{37}}{2}$ and $x=\frac{7-\sqrt{37}}{2}$

the smaller solution will be $x=\frac{7-\sqrt{37}}{2}$

Read more about triangles at:

brainly.com/question/17335144

#SPJ1

6 0

1 year ago

Combine like terms -2/3p + 1/5 - 1 + 5/6p

Bezzdna [24]

1/6p - 4/5

Explanation: -2/3p needs to have the same denominator as 5/6p so they can combine. (Note, whatever sign is in front of a number determines if it is negative or positive. Your equation indicates that the bolded parts are negative and the other parts are positive: -2/3p + 1/5 - 1 + 5/6p. So what we are really doing in an equation like this is combining some numbers together)
-2/3p and 5/6p and the least common multiple of six, so we adjust the numbers to each have a denominator of 6. 5/6p is already there, so we need to adjust -2/3p.
We can multiply both the numerator and denominator by 2 to turn -2/3p into -4/6p. -4/6p has the same value as -2/3p, and now it also has the same denominator as 5/6p!
We then have to combine like terms, therefore combining -4/6p with 5/6p. When adding together fractions, the denominator does not change (this is why both numbers must have the same denominators). So our answer will be _/6p. So we combine -4 with 5, giving us one.
Therefore, -2/3p combined with 5/6p is 1/6p.
Now we have to combine our other set of like terms, 1/5 and -1. We can do this the same way that we combined the other numbers.
1/5 and -1 need the same denominator. This is simple because 1 can easily be figured out with any denominator, as long as the numerator and denominator are the same. This would make 1 = 5/5. But we need it negative, so it would be -5/5.
Now that we have common denominators, we can combine!
1/5 - 5/5
Remember what we said before, the solution will have the same denominator, so all we need to do is (in this case) subtract the numerators.
1 - 5 = 4
So that would be -4/5.
With the like terms combined, we just need to put our two combinations (1/6p and -4/5) together!

Our answer: 1/6p - 4/5

I hope that helps!

5 0

3 years ago

Evaluate -3x^3 - 4x for x = A. 7 B. -1 C. 1

elena-14-01-66 [18.8K]

Answer:

believe the answer is c

Step-by-step explanation:

-1

7 0

3 years ago

Pls Need Help!

gladu [14]