1. -1
2. 1
3. 5
4. -1
5.-1
6. -3
Answer: The correct factors are
(x-1) and (x+2)
Step-by-step explanation:
Step one :
To factorize the equation
x²– x – 2=0
First we look for numbers that when multiplied will result to the constant term and when added will result to the second term (1x, - 2x)
Step two :
We replace the second term with these factors we have
x²–(x-2x)–2=0
x²–x+2x–2=0
Factoring the expression we have
x(x–1)+2(x–1)=0
Hence the factors will be
(x-1) and (x+2)
Answer:answer is a (x+8)^2=86
Step-by-step explanation:
x+8=±√
86
2 Break down the problem into these 2 equations.
x+8=\sqrt{86}x+8=√
86
x+8=-\sqrt{86}x+8=−√
86
3 Solve the 1st equation: x+8=\sqrt{86}x+8=√
86
.
x=\sqrt{86}-8x=√
86
−8
4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√
86
.
x=-\sqrt{86}-8x=−√
86
−8
5 Collect all solutions.
x=\sqrt{86}-8,-\sqrt{86}-8x=√
86
−8,−√
86
−8
x
2
+16x−22=0
2 Use the Quadratic Formula.
x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=
2
−16+2√
86
,
2
−16−2√
86
3 Simplify solutions.
x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√
86
,−8−√
86
Answer: Option 'D' is correct.
Step-by-step explanation:
Real gross domestic product is measure of inflation which reflects the value of goods and services produced in an economy in a particular year. It is basically known as base year prices.
As it is measured on base year prices.
It is also known as inflation corrected GDP.
Hence, Option 'D' is correct.