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Vesnalui [34]
3 years ago
6

Find the sum and product of the roots. 3x^2 - 4x-7 = 0

Mathematics
1 answer:
aalyn [17]3 years ago
6 0

x1,x2(-1, 7/3)

to slove this you need the formula

from equation a=3 b=-4 c=7;

<em>x=(-b±√b²-4ac)/2a</em>

x=(4±√-4²-4×3×7)/2×3

x=(4±√100)/6

x=(4±10)/6

x1=4-10/6 x2=4+10/6

x1=-6/6 x2=14/6

x1=-1 x2=7/3

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Which quadratic equation has roots –2 and 1/5?
AysviL [449]

Answer:

The equation 5x^2\:+\:9x\:-\:2\:=\:0 has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

Step-by-step explanation:

Checking the equation

5x^2\:+\:9x\:-\:2\:=\:0

putting x = -2 in the equation

5\left(-2\right)^2\:+\:9\left(-2\right)-\:2\:=\:0\:

2^2\cdot \:\:5-9\cdot \:\:2-2=0

2^2\cdot \:5-18-2=0

20-20=0

0=0

L.H.S=R.H.S

putting x = 1/5 in the equation

5\left(\frac{1}{5}\right)^2\:+\:9\left(\frac{1}{5}\right)-\:2\:=\:0\:

5\left(\frac{1}{5}\right)^2+9\cdot \:\frac{1}{5}-2=0

\frac{1}{5}+\frac{9}{5}-2=0

2-2=0

0=0

L.H.S=R.H.S

As putting x = -2 and x = 1/5 satisfy the equation.

Therefore, the equation 5x^2\:+\:9x\:-\:2\:=\:0 has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

4 0
3 years ago
B ∩ U A = U(B ∩ A).
NARA [144]
Are those emojis or no
5 0
4 years ago
A grocery store has small bags of apples for $5 and large bags of apples for $8. If you buy 6 bags and spend $45, how many of ea
ladessa [460]
Based on the given problem above, here is the given solution.
Given that small bags = $5
                 large bags = $8
                 6 bags = $45
                 ? = number of each size bag you bought
The answer based on the given values above is 5 LARGE BAGS and 1 SMALL BAG.
Since per large bag is $8. $8 x 5 = $40
And per small bag is $5 x 1 = $5
So this gives you a total of $45
hope this helps!
3 0
4 years ago
Keep me and and my fan's a live cuz if i fail this test i cant do cosplay anymore soooooo please help me!
siniylev [52]

Answer:

Z

Step-by-step explanation:

the answer is z! x should increase by 2 every time y increases by 1

3 0
3 years ago
Read 2 more answers
Danielle’s aunt is 8 years than 3 times Danielle’s age. Her aunt is 34. Write an equation that relates Danielle’s age, a, to her
OverLord2011 [107]

Answer:

*Assuming that the question should read '8 years less than 3 times Danielle's age'*

Equation:  3a - 8 = 34, where 'a' = Danielle's age

Danielle's age (a) = 14

Step-by-step explanation:

Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.  

Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as:  3a - 8.  We also know her aunt is 34.  So, the equation becomes:

3a - 8 = 34

Add 8 to both sides:  3a - 8 + 8 = 34 + 8 or 3a = 42

Divide both sides by 3:  3a/3 = 42/3

Solve for a:  a = 14, so Danielle's age is 14 years old.  

7 0
4 years ago
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