49

Step-by-step explanation: We add 16 to both sides and the expression becomes a perfect square.

Answer: -4±4i is the solution of x²+8x = -32.

Method 1 Use algebra tiles. Arrange the tiles for x2 – 8x so that two sides of the figure are congruent. To make the figure a square, add 16 positive 1-tiles. x 2 – 8x + 16 is a perfect square.

1 Expert Answer If you mean to complete the square for x2 – 8x, the answer is 16, i.e. (x – 4)2 = x2 – 8x + 16.

The missing constant is 4.

Answer: The missing constant is 64.

Is this a perfect square trinomial: x2 + 14x + 49 ? Answer. Yes. 49 is the square of 7.

To factor it, find 2 numbers knowing sum (b = 3) and product (c = -28). They make the factor pair: (-4, 7).

What Is a Love Square? A love square is when four characters in a story become romantically involved with each other. Think of it as a love triangle, but with four people. Each person in the love square should connect to the other three.

The hexagon: Love, Sincerity, Truth, Lovers, Harmony, Equality, Perfection, Integration, Conjoining, Reliability, Dependability, Communication.

The term “love triangle” generally connotes an arrangement unsuitable to one or more of the people involved. In most cases, the jealous or rejected first party ends a friendship—and sometimes even starts a fight with—the second party over the third-party love interest.

Love rectangle, also known as a quadrangle, is a somewhat inane term to define a romantic relationship that involves four people. It is comparable to the typically three-sided love triangle.

It’s usually called a triangle because the two people who like the same person also usually have some kind of relationship themselves (friends, former friends, enemies?).

A love triangle is a sustained sexual and/or emotional attachment between two people, one of whom is in a committed relationship with another person. While a love triangle may begin with a casual, short term affair between these two people, the term generally refers to a more complex relationship.

The love triangle intrigues because it allows us to be both idealistic and realistic at the same time. All the elements that we want to believe are just as possible as all the elements that we know will happen.

Therefore, the solutions to the equation are x=4−2√10 and x=4+2√10 .

Answer: x = -4 is the only solution.

what is the first step in solving the quadratic equation x2 = 9/16? take the square root of both sides of the equation. add 9/16 to both sides of the equation.

A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.

The discriminant is the part under the square root in the quadratic formula, b²-4ac. If it is more than 0, the equation has two real solutions. If it’s less than 0, there are no real solutions.

The discriminant shows you the type and number of solutions of the graph. If b2 – 4ac > 0, the graph has two real solutions. If b2 – 4ac = 0, the graph has one real solution. If b2 – 4ac < 0, the graph has two imaginary solutions.

Step-by-step explanation: x = ( -b±√b²-4ac) / 2a is quadratic formula which is used to find the value of x in quadratic equation.

In the derivation of the quadratic formula by completing the square, the equation (x+b over 2a)^2=-4ac+b^2 over 4a^2 is created by forming a perfect square trinomial.

We do this by subtracting 10x both sides (to get it on the other side).. 9x^2 + 2 = 10x 9x^2 – 10x + 2 = 10x – 10x 9x^2 – 10x + 2 = 0 Now the discriminant is: b^2 – 4ac The quadratic equation is Ax^2 + Bx + C = 0 Here, A = 9, B = -10 and C = 2 so plug them in…

The answer is y=(x+1)2-1. The x plus one causes the whole parabola to actually shift to the left by one unit rather than to the right. The subtraction of one causes a vertical shift down by one unit, so the vertex moves from (0,0) to (-1,-1).