Mathematics, 25.01.2020 00:31 jlankford148

Square root of 3-x=x+3 solve for x?

Answers: 1

Show answers

Answers

√(3 -x) = x + 3 square both sides

(√(3 -x))² = (x + 3)²

3 - x = (x + 3)(x + 3)

3 - x = x(x +3) + 3(x + 3)

3 - x = x² + 3x + 3x + 9

3 - x = x² + 6x + 9

0 = x² + 6x +x + 9 -3

0 = x² + 7x + 6

x² + 7x + 6 = 0 Solve the quadratic function. +6 = +6 * +1

x² + x + 6x + 6 = 0

x(x +1) + 6(x +1) = 0

(x+1)(x + 6) = 0

x +1 = 0    or x + 6 = 0

x = 0 -1, or x = 0 -6, x = -1, or -6.

Check:
√(3 -x) = x + 3    √(3 -x) = x + 3
x = -1 x = -6
√(3 - -1) = -1 + 3 √(3 - -6) = -6 + 3
√(3 +1) = 3 -1 √(3 +6) = 3 - 6
√4 = 3 -1    √9 = -3
   2 = 2 Square root of 9 is also -3,
   LHS = RHS

Left Hand side (LHS) = Right Hand Side (RHS)

So the solutions x = -1, and x = -6 are correct for the surd equation.

Answer from: Quest

$\begin {array}{c|c}\underline {\quad x\quad}& \underline{\quad y\quad}\\ -2& 4\\-1& 2\\0& 0\\1& 2\\ 2& 4\\\end{array}$

step-by-step explanation:

y = | -2(-2) | → y = | 4 | → y = 4 ⇒ (-2, 4)

y = | -2(-1) | → y = | 2 | → y = 2 ⇒ (-1, 2)

y = | -2(0) | → y = | 0 | → y = 0 ⇒ (0, 0)

y = | -2(1) | c → y = | -2 | → y = 2 ⇒ (1, 2)

y = | -2(2) | → y = | - 4 | → y = 4 ⇒ (2, 4)

Answer from: Quest

pls refer ro the top for answer

Offering 20 pts ! i need with my homework ! (must include steps)

Another question on Mathematics

Mathematics, 21.06.2019 14:00

9. (y^-5)^10y^10 a. y^-60 b. y^60 c. y^-150 d. y^150 find the simplified form of each expression. 10. (4/7^5)^2 a.8/14^10 b.16/49^25 c.16/49y^10 d.8/14y^25 11. determine if the number 3.43 times 10^-6 is written in scientific notation. if not, explain. a. yes; the number is written scientific notation. b. no; the first factor is not a number between 1 and 10. c. no; it is not written as a number times a power of 10

Answers: 3

Answer

Mathematics, 21.06.2019 18:00

For a field trip to the zoo, 4 students rode in cars and the rest filled nine busess. how many students were in each bus if 472 students were on the trip

Answers: 1

Answer

Mathematics, 21.06.2019 19:20

The square root of 9x plus 7 plus the square rot of 2x equall to 7

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

He trapezoid is composed of a rectangle and two triangles. what is the area of the rectangle? what is the total area of the triangles? what is the area of the trapezoid? ? a) 42 cm2; 27 cm2; 69 cm 2 b) 54 cm2; 27 cm2; 81 cm 2 c) 108 cm2; 27 cm2; 135 cm 2 d) 108 cm2; 13.5 cm2; 121.5 cm 2