1. x^2 + 13x + 36 = 0
using powerful & time-sparing quadratic formula :
delta = 13^2 - 4*1*36 = 25 = 5^2
x1 and x2 = (-13 -/+ 5)/2 = -9 and -4
x^2 + 13x + 36 = (x+9)(x+4)
2. other way : complete the square
b^2 + 12b + 32 = b^2 + 2*6b + 6^2 - 6^2 + 32
b^2 + 12b + 32 = (b+6)^2 - 4
b^2 + 12b + 32 = (b+6-2)(b+6+2) = (b+4)(b+8)
3. other way : -4 "ovious" solution : (-4)^2 - (-4) -20 = 0
so the other is : -4 . a2 = -20/1 ---> a2 = 5
a^2 - a - 20 = (a-5)(a+4)
Answer:
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Step-by-step explanation:
1. 
Move constant to right hand side and change its sign
⇒
Subtract 6 from 21
⇒
Divide both sides of the equation by 3
⇒
Calculate
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2. 
Swap the sides of the equation
⇒
Move constant to right hand side and change it's sign
⇒
Add the numbers
⇒
Divide both sides of the equation by 7
⇒
Calculate
⇒
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3. 
Swap the sides of the equation
⇒
Move constant to right hand side and change it's sign
⇒
Subtract 7 from 28
⇒
Hope I helped!
Best regards!!
Answer:
220
Step-by-step explanation:
Divisor • Quotient + Remainder = Dividend
The divisor is 8, the quotient is 27, the remainder is 4.
27 • 8 = 216; 216+ 4= 220 (Don’t forget that multiplication is commutative, so 8 & 27 can swap places!) 220 is the number that when divided by 8 gives 27 remainder 4.
In simpler way
Dividend = divisor × quotient + remainder.
Divisor = 8, quotient = 27, remainder = 4.
Dividend = (8×27)+4,
= 216+ 4
= 220
The number is 220.
For proof
Answer:
20-degree angle
Step-by-step explanation:
hope this helps
We have to determine the number which is rounded to the nearest tenth in the expression 0.304
1.325.
So, let us divide 0.304 by 1.325.
So, we get
= 0.229
Now, we have to round the number 0.229 to the nearest tenth.
The tenths place is to the right of the decimal. Now, we will consider the digit at hundredths place which is '2', which is less than 5.
Therefore, the number rounded to the nearest tenth is 0.2.