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2 years ago

How many real solutions does p^2-5p+7=0 have

Mathematics

1 answer:

jekas [21]2 years ago

8 0

Let's work out the discriminant b^2 - 4ac:-

D = (-5)^2 - 4*1*7 = 25 - 28 = -3

A negative discriminant shows that there are NO real solutions Answer

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Evaluate the expression 12 - x when x = 4. Show your work.

ArbitrLikvidat [17]

Answer: 8

Step-by-step explanation: 12 minus 4 equals 8

6 0

2 years ago

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

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2 years ago

a rectangle has a width of 4 cm and a length of 8cm is scaled by a factor of 6.what are the side lengths of the scaled copy

vichka [17]

Answer:

$\huge\boxed{\text{Width: } 24 \ \ \ \text{Length: } 32}$

Step-by-step explanation:

When we scale an object by a scale factor, the side lengths become the scale factor times bigger than the previous sides. Therefore, with a scale factor of 6, the side lengths would be multiplied by 6.

$4 \cdot 6 = 24\\\\4 \cdot 8 = 32$

Hope this helped!

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3 years ago

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Simplify: <br><br> 2(3y +5) - 2y + 8

Scilla [17]

Answer:

2(2y+9)

Step-by-step explanation:

6y+10-2y+8

4y+18

2(2y+9)

hope it helps.

just sitting here waiting for brainliest.

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3 years ago

Circle X is shown in the diagram.

GaryK [48]

Answer:

m<1 = 1/2(a+b)

Step-by-step explanation:

First, you have to add the two different side angles and then divide by two. I just took my quiz and got this.

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3 years ago