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algol13
3 years ago
12

Find the discrimanant and the number of real roots for this equation x^2+2x+8=0

Mathematics
1 answer:
balu736 [363]3 years ago
4 0

\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+8}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one root}\\ positive&\textit{two roots}\\ negative&\textit{no real roots}~~\textit{\Large \checkmark} \end{cases} \\\\\\ (2)^2-4(1)(8)\implies 4-32\implies -28

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Answer:

6.6h

Step-by-step explanation:

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5 0
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Is it true that x= -5 ? -2(-4x-1)-x+3=−30 Justify your answer.
grandymaker [24]

Answer:

Step-by-step explanation:

here you go mate

step 1

-2(-4x-1)-x+3=−30  equation/Question

step 2

-2(-4x-1)-x+3=−30  distribute

7x+5=-30

step 3

7x+5=-30  subtract 5

7x=-35

step 4

\frac{7x}{7} =\frac{-35}{7}  divide

answer

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Nichole collected data from the basil plant in her garden. She recorded the day (x) and how much the plant had grow (y) in centi
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factorise the following 1. x²-2x+15.... 2. y²-19y+90​
Marta_Voda [28]

Answer:

1. x²-2x+15

This can't be factored, I've tried multiple ways now, but it just can't be factored.

2. y²-19y+90​

Let's factor y^2−19y+90

y^2−19y+90

The middle number is -19 and the last number is 90.

Factoring means we want something like

(y+_)(y+_)

Which numbers go in the blanks?

We need two numbers that...

   Add together to get -19

   Multiply together to get 90

Can you think of the two numbers?

Try -9 and -10:

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   -9*-10 = 90

Fill in the blanks in

(y+_)(y+_)

with -9 and -10 to get...

(y-9)(y-10)

Answer:

(y−9) (y−10)

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