All categories

3 years ago

What is the first step in solving the quadratic equation x^2=9 over 16

Mathematics

1 answer:

nikdorinn [45]3 years ago

3 0

Answer:

"Take the square root of both sides of the equation"

A is correct

Step-by-step explanation:

We are given quadratic equation

We need to solve for x. We have to isolate x here.

Here square on x. So, first we get rid of square.

Taking square root both sides to get rid of square.

For example:

a2=25

sqare a2 = +- sqare 25

x2=9/16 to solve for x

sqare x2 +- sqre 9725

x=+- 3/5

Hence, "Take the square root of both sides of the equation"

You might be interested in

The area of a rectangular piece of cardboard is represented by

Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

$A = wl$

w(2w + 3) = 9

From this, we get that:

$l = 2w + 3, A = 9$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

In this question:

$w(2w+3) = 9$

$2w^2 + 3w - 9 = 0$

Thus a quadratic equation with $a = 2, b = 3, c = -9$

Then

$\Delta = 3^2 - 4(2)(-9) = 81$

$w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5$

$w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3$

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0

2 years ago

A ladder is placed against the side of a house. The top of the ladder is 12 feet above the ground. The base of the ladder is 5 f

Colt1911 [192]

This is the Pythagorean theorem where the 2 legs of a triangle squared add up to equal the squared hypotenuse (a^2 + b^2 = c^2)

The equation would be
12^2 + 5^2 = x^2

144 + 25 = 169

The square root of 169 = 13

Answer - 13 ft

3 0

2 years ago

What is the expression?

pentagon [3]

Step-by-step explanation:

Take a look at the picture, And tell me if am wrong