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solmaris [256]
3 years ago
10

Which of these choices are quadratic equations? Check all that apply.

Mathematics
2 answers:
balandron [24]3 years ago
3 0

Answer:

A

Step-by-step explanation:

SVETLANKA909090 [29]3 years ago
3 0

Answer:

<em>Quadratic Equations ⇒ D, E, F</em>

Step-by-step explanation:

Let us say that each of these equations can only be defined as a quadratic equation if it can be factored / solved through completing the square / application of quadratic formula as solve for the value of x;

A. 2x - 1 = 0, Add + 1 to either side,\\2x = 1, Divide sides by 2,\\x = 1 / 2 ; Not Quadratic Equation

B. 2x^2 - 1 = 0, Add + 1 to either side,\\2x^2 = 1, Divide sides by 2,\\x^2 = 2, Take | | of x, \sqrt{x} - either side \\\| x | = \sqrt{1 / 2},\\x = \sqrt{1 / 2}  = -  \sqrt{1 / 2} ; NotQuadraticEquation

C. 2x^2 - 1, NotInForm - ax^2 + bx + x = 0 ; NotQuadraticEquation

D. 3x^2 + 5x - 1 = 0, Add 1 to either side,\\3x^2 + 5x = 1, Divide sides by 3,\\x^2 + 5x / 3 = 1 / 3, Solve for a,\\2ax = 5 / 3x, Divide sides by 2x,\\a = 5 / 6, Add a^2 - ( 5 / 6 )^2 to either side,\\x^2 + ( 5x / 3 )^2 + ( 5 / 6 )^2 = 1 / 3 + ( 5 / 6 )^2, simplify,\\( x + 5 / 6 )^2 = 37 / 36, solve for x,\\x = ( \sqrt{37} - 5 ) / 6 = ( - \sqrt{37} - 5 ) / 6 ; QuadraticEquation

E. x - x^2 + 5 = 0, Similar Form ; QuadraticEquation\\

F. - 4x^2 + x = 0, Factor the Expression,\\- x * ( 4x - 1 ) = 0, Apply Zero Product Property,\\x = 0, and, 4x - 1 = 0,\\x = 0 = 1 / 4 ; QuadraticEquation

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(x - 2)(x² + 2x + 4) = 0​
Ber [7]

We have to find the value of x from the given equation.

  • (x - 2)(x² - 2x + 2) = 0 is a quadratic equation, so it will have two values.

Step: Write the equation in simplest form.

  • (x - 2)(x² - 2x + 1) = 0

Step: Solve the problem by spiltting method.

  • (x-2)(x² - x -x + 1) = 0
  • (x - 2)(x²-x - x + 1) = 0
  • (x - 2) [x(x - 1) -1(x -1)]
  • (x - 2)[(x-1)(x-1)]

Step: Solve the problem with using algebraic formula.

{x-1](x-1)

Step : We have used a²-b² to solve the problem.

(x-2)(x² - x -x + 1) = 0

(x - 2)(x²-x - x + 1) = 0

(x - 2) [x(x - 1) -1(x -1)]

(x - 2)[(x-1)(x-1)]

Therefore, the possible factorization is (x - 2)[(x-1)(x-1)].

4 0
3 years ago
Sketch the line passing through the pair of points and identify the line as having a positive slope, a negative slope, a zero sl
scoundrel [369]

Answer:

line will be horizontal running through (0,2)

Step-by-step explanation:

6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.

5 0
2 years ago
james was diving in the ocean. he decided to ascend 11 feet to be able to see the coral better. he was then at -13 feet from the
vesna_86 [32]

Answer: -1 because - 13 - 11 will = -1

5 0
2 years ago
C-7.6=-4 what is the value of c
9966 [12]
C - 7.6 = -4
c = -4 + 7.6
c = 3.6
4 0
2 years ago
Read 2 more answers
Factor the expression 100n squared - 1
frez [133]
Factor using the difference of squares.

a^2-b^2 = (a+b)(a-b)

100n^2-1
(10n+1)(10n-1)

Final answer: (10n+1)(10n-1)
4 0
3 years ago
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