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taurus [48]
3 years ago
9

What is the discriminant and the roots of 2x² - 10x + 8 = 0?​

Mathematics
2 answers:
Darina [25.2K]3 years ago
8 0

Answer:

D=36, x1=1, x2=4

Step-by-step explanation:

Find the D:

D = b2 - 4ac = (-10)2 - 4·2·8 = 100 - 64 = 36

Since the discriminant is greater than zero, the quadratic equation has two real roots

x1=\frac{10-\sqrt{36} }{2*2} \\x2=\frac{10+\sqrt{36} }{2*2}

Verizon [17]3 years ago
6 0

Discriminant = b^2 - 4ac

= 36

Roots:

Method: Sum and Product

Sum = -10

Product = 16

(2x^2 - 8x) - (2x + 8) = 0

2x(x - 4) - (x - 4) = 0

x = 0 or x = 4

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tekilochka [14]

Answer:

d = 5e

Step-by-step explanation:

Number of wagons = 5

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Total number of mules = d

Hence, relationship between total mules d needed will be ;

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d = 5e

4 0
2 years ago
1/2 + 5/3 - 1<br>------------------<br> 3/4
Sav [38]
Hey there :)

\frac{ \frac{1}{2}+ \frac{5}{3} -1 }{ \frac{3}{4} }
      ↓ Is the same as
\frac{1}{2} + \frac{5}{3} -1 ÷ \frac{3}{4}

Since it is a division by fraction, we can multiply by what is called the reciprocal
( The attached picture might help you )
( \frac{1}{2} + \frac{5}{3} - 1 ) × \frac{4}{3} 
     ↓ For this part, we need the common denominator, which is 6
\frac{1(3)}{2(3)}+ \frac{5(2)}{32)}  \frac{1(6)}{1(6)} × \frac{4}{3}

\frac{3}{6}+ \frac{10}{6}  - \frac{6}{6} × \frac{4}{3}
\frac{7}{6} × \frac{4}{3}
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7 0
3 years ago
A line that includes the points ( - 2, - 9) and ( - 6,n) has a slope of - 1. What is the value of n?
Genrish500 [490]

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Here,

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Now set this slope equal to -1 and solve the resulting equation for n:

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7 0
3 years ago
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Leno4ka [110]

A to the middle one

B to the top one

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The middle one is only positive solutions because for 7x to be more than lxl it would need to be positive since the sign is "greater than"

The bottom one is none because the absolute of anything will always be more than a negative since the absolute is always positive. Never less or equal to a negative, always more.



7 0
3 years ago
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