Answer:
-4
Step-by-step explanation:
x^2+4x+5=0
a=1,b=4^1 C=5
4^2-4×1×5
-4
8 different styles
4x2=8
If you want to answer future questions like this then you multiply the numbers of the items.
Answer:
x=14
Step-by-step explanation:
create an equation out of it. 4x+2x-6=90. Or 6x=84
<h3>
Answer: Largest value is a = 9</h3>
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Work Shown:
b = 5
(2b)^2 = (2*5)^2 = 100
So we want the expression a^2+3b to be less than (2b)^2 = 100
We need to solve a^2 + 3b < 100 which turns into
a^2 + 3b < 100
a^2 + 3(5) < 100
a^2 + 15 < 100
after substituting in b = 5.
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Let's isolate 'a'
a^2 + 15 < 100
a^2 < 100-15
a^2 < 85
a < sqrt(85)
a < 9.2195
'a' is an integer, so we round down to the nearest whole number to get
So the greatest integer possible for 'a' is a = 9.
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Check:
plug in a = 9 and b = 5
a^2 + 3b < 100
9^2 + 3(5) < 100
81 + 15 < 100
96 < 100 .... true statement
now try a = 10 and b = 5
a^2 + 3b < 100
10^2 + 3(5) < 100
100 + 15 < 100 ... you can probably already see the issue
115 < 100 ... this is false, so a = 10 doesn't work
Answer:
xy(y - x)(y + x)
Step-by-step explanation:
take out a common factor xy from both terms
= xy(y² - x²)
y² - x² is a difference of squares and factors in general as (y - x)(y + x)
Hence
xy³ - x³y = xy(x - y)(x + y)