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3 years ago

Which quadratic equation has no real roots?

Mathematics

2 answers:

Stella [2.4K]3 years ago

6 0

Answer:

The first choice and the last have no real roots.

Step-by-step explanation:

For an equation to have no real roots the value of the discriminant ( b^2 - 4ac) will be negative.

Working out the values:

1. D = (-2)^2 - 4* -1*-6 = -20 so it has no real roots.

2. D = (3)^2 - 4* -2* 4 = 41 so it does have real roots.

3. D = (1)^2 - 4* 2*-6 = 49 so real roots.

4. D = (-1)^2 - 4* 2*3 = -23 so no real roots

n200080 [17]3 years ago

3 0

Answer:

A and D

Step-by-step explanation:

By finding the roots of all the equations, we see that options A and D are the only ones that require an imaginary number in order to solve

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4. Find the total surface area. 5.1 in. 3 in. 8.3 in.

maw [93]

Answer:

Surface Area = 165.06 inches 2

Step-by-step explanation:

5.1 in.

3 in.

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Surface Area = 2×(5.1×3 + 5.1×8.3 + 3×8.3)

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3 years ago

Justin made 184 for 8 hours of work. At the same rate, how many hours would he have to work to make 115?

Kisachek [45]

Answer:

8/184

0.0434782609x115

Step-by-step explanation:

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2 years ago

A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located

makkiz [27]

The answer is 34.05

The total distance (D) is the sum of three distances (d1, d2, and d3).

The distance formula is $d = \sqrt{(x2-x1)^{2} +(y2-y1)^{2}}$

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9):
 $d1 = \sqrt{(-20-(-12))^{2} +(-9-(-16))^{2}} =\sqrt{(-20+12)^{2} +(-9+16)^{2}} \\ =\sqrt{(-8)^{2} +(7)^{2}}= \sqrt{64+49} = \sqrt{113}= 10.63$

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):
$d2 = \sqrt{(-33-(-20))^{2} +(-4-(-9))^{2}} =\sqrt{(-33+20)^{2} +(-4+9)^{2}} \\ =\sqrt{(-13)^{2} +(5)^{2}}= \sqrt{169+25} = \sqrt{194}= 13.93$

Distance 3: Los Angeles (–33, –4) to San Francisco (–36, 5)
 $d3 = \sqrt{(-36-(-33))^{2} +(5-(-4))^{2}} =\sqrt{(-36+33)^{2} +(5+4)^{2}} \\ =\sqrt{(-3)^{2} +(9)^{2}}= \sqrt{9+81} = \sqrt{90}= 9.49$

D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05

3 0

3 years ago

What is 54x > 87? I need to know fast

RoseWind [281]

X > 29/18

hope this helps

6 0

3 years ago

A six sided die is rolled three times. Find the probability that the result is an even number for every roll.

bogdanovich [222]

$|\Omega|=6^3\\|A|=3^3\\\\P(A)=\dfrac{3^3}{6^3}=\left(\dfrac{3}{6}\right)^3=\left(\dfrac{1}{2}\right)^3=\dfrac{1}{8}=12.5\%$

4 0

2 years ago