X^4-30x^2+125=0 solve the equation by making an approproate substitution

Answers

Answer 1

Answer: $x^4-30x^2+125=0\n \n \boxed{y=x^2}\n \n y^2-30y+125=0\n \n \Delta=(-30)^2-4.1.125=900-500=400\n \n y=(30 \pm20)/(2)\n \n y_1=5\n \n y_2=25\n$

$x^2=5\Rightarrow x=\pm\sqrt5\n \n x_2=25 \Rightarrow x=\pm5\n \n S=\{-\sqrt5,\sqrt5,-5,5\}$

Answer 2

Answer: $x^4-30x^2+125=0 \n \nt=x^2\n\nt^2-30t+125=0\n\na=1, \ \ b=-30, \ \ t=125 \n \n\Delta =b^2-4ac = (-30)^2 -4\cdot1\cdot 125 = 900-500=400$

$x^(2)=t \n \nx^(2)=5 \ \ or \ \ x^2 = 25\n\nx^(2)-5=0 \ \ or \ \ x^2 - 25=0\n\n (x-√(5)) (x+√(5))=0 \ \ \ or \ \ \(x-5)(x+5)=0 \n\nx=√(5)\ \ or \ \x= -√(5)\ \ or \ \ x=5 \ \ or \ \ x=-5 \n\nAnswer : \ x=\left \{ -5,\ -√(5),\ √(5), \ 5 \right \}$

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Determine the sign of the product -2/9×1/7 enter + for positive or - or negative

Answers

Answer:

the sign of the product would be a negative or "-"

Step-by-step explanation:

Final answer:

The sign of the product of -2/9 × 1/7 is negative because one of the numbers being multiplied is negative and the other is positive.

Explanation:

In mathematics, the sign of a product is determined by the sign of the numbers that are being multiplied. When multiplying two numbers, if both numbers are positive or both numbers are negative, the product will be a positive number. If one number is positive and one is negative, the product will be a negative number.

In our case, we are multiplying -2/9 and 1/7. The number -2/9 is negative and the number 1/7 is positive. Since one number is positive and the other one is negative, the sign of the product -2/9×1/7 will be negative. Thus, we enter '-' for negative.

Learn more about Sign of Product here:

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Scientific notation 2/10=?
and 12 thousandth =? show the work.

Answers

12,000=12*1,000 or 12,000=12*10^3

Please help this is timed

Answers

Answer:

The last one (f) hope u still have time

The sides of a square are 2^4/9 inches long. what is the area of the square?A. 2^16/81 square inches
B. 4^16/81 square inches
C. 2^8/9 square inches
D. 4^8/9 square inches

Answers

The area of a square is the length of a side times itself:
2_4/9 * 2_4/9
Mixed numbers cannot be multiplied, so first convert to improper fractions:
(9*2)+4 = 18+4 = 22/9
22/9 * 22/9
Multiply straight across:
(22*22)/(9*9) = 484/81
Now turn this into a mixed number:
81 goes into 484 five times with 79 left over:
5_79/81 square inches
Since this is not one of the answer choices, I'm wondering if the given length of the side of the square is incorrect?

Intercepts of 9x^2+9y=81

Answers

$x=0\n \n 9x^2+9y=81\n \n 9.0^2+9y=81\n \n 9y=81\n \n y=(81)/(9)\n \n \boxed{y=9}$

$y=0\n \n 9x^2+9.0=81\n \n 9x^2=81\n \n x^2=(81)/(9)\n \n x^2=9\n \n \boxed{x= \pm 3}$

-3(10+4v)=-6(5-9v)

step-by-step pls

Answers

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(10+4v)=−6(5−9v)

Step 1: Simplify both sides of the equation.

−3(10+4v)=−6(5−9v)

(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)

−30+−12v=−30+54v

−12v−30=54v−30

Step 2: Subtract 54v from both sides.

−12v−30−54v=54v−30−54v

−66v−30=−30

Step 3: Add 30 to both sides.

−66v−30+30=−30+30

−66v=0

Step 4: Divide both sides by -66.

−66v

−66

v=0

Answer:

omg im so sorry

Step-by-step explanation:

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