Mathematics, 05.10.2019 07:10 fantasticjrod

What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) – 4 = 0 as a quadratic equation? u = (x + 5) u = (x – 5) u = (x + 5)2 u = (x – 5)2

Answers: 2

Show answers

Answers

The quadratic equation $6(x+5)^{2}+5(x+5)-4=0$ can be rewritten by substituting $\boxed{u=(x+5)}$ i.e., option (1) is correct.

Further explanation:

The equation of the form $ax^{2}+bx+c=0$ is defined as quadratic equation where a,b and are real numbers.

The given quadratic equation is as follows:

$\boxed{6(x+5)^{2}+5(x+5)-4=0}$

Option (1)

Here, the option is u=(x+5) .

Substitute u=(x+5) in the equation $6(x+5)^{2}+5(x+5)-4=0$ .

$\begin{aligned}6(u)^{2}+5(u)-4&=0\\6u^{2}+5u-4&=0\end{aligned}$

The above obtained equation is the quadratic equation.

Therefore, option (1) is correct.

Option (2)

Here, the option is u=x-5 or u+5=x .

Substitute u+5=x in the equation $6(x+5)^{2}+5(x+5)-4=0$ .

$\begin{aligned}6(u+5+5)^{2}+5(u+5+5)-4&=0\\6(u+10)^{2}+5(u+10)-4&=0\end{aligned}$

The above obtained equation is a quadratic equation but the given equation $6(x+5)^{2}+5(x+5)-4=0$ cannot be rewritten as $6(u+10)^{2}+5(u+10)-4=0$ .

Therefore, option (2) is incorrect.

Option (3)

Here, the option is $u=(x+5)^{2}$ .

Substitute $u=(x+5)^{2}$ in the given equation $6(x+5)^{2}+5(x+5)-4=0$ .

$6u+5\sqrt{u}-4=0$

The above obtained equation is not a quadratic equation.

Therefore, option (3) is incorrect.

Option (4)

Here, the option is $u=(x-5)^{2}$ or $\sqrt{u}+5=x$ .

Substitute $\sqrt{u}+5=x$ in the given equation $6(x+5)^{2}+5(x+5)-4=0$ .

$\begin{aligned}6(\sqrt{u}+5+5)^{2}+5(\sqrt{u}+5+5)-4&=0\\6(\sqrt{u}+10)^{2}+5(\sqrt{u}+10)-4&=0\end{aligned}$

The above obtained equation is the not in the form of $ax^{2}+bx+c=0$ . Thus, the above equation is not a quadratic equation.

Therefore, option (4) is incorrect.

Thus, the quadratic equation $6(x+5)^{2}+5(x+5)-4=0$ can be rewritten by substituting $\boxed{u=(x+5)}$ i.e., option (1) is correct.

Learn more

1. Problem on -intercept of the quadratic equation

2. Problem on the center and radius of an equation

3. Problem on the general form of the equation of the

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Quadratic equations

Keywords: Quadratic equation, substitution, roots of the equation, function, sets, real numbers, integers, ordinates, abscissa, interval, open interval, closed intervals, semi-closed intervals, semi-open, interval.

Answer from: Quest

i think it's either c or d

step-by-step explanation: the entire question is extremely odd. 04 obviously refers to the interest rate. honestly i will say the answer is c. because the (2 x 12) part would mean it's compounded semiannually. i'll say choose c.

Someone i retook this test twice already

Answer from: Quest

1 1/7 hope i

step-by-step explanation:

8/7 = (1 * 7 + 1) / 7 = 1 + 1/7 = 1 1/7

Convert this into mixed number, its super easy just

Another question on Mathematics

Mathematics, 21.06.2019 18:30

Select the lengths in centimeters that would form a right triangle

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Select the two pairs of figures that are similar.

Answers: 1

Answer

Mathematics, 22.06.2019 00:00

Let u = {q, r, s, t, u, v, w, x, y, z} a = {q, s, u, w, y} b = {q, s, y, z} c = {v, w, x, y, z}. list the elements in the set.a ∩ (b ∪ c)a) {q, s, w, y}b) {q, y, z}c) {q, s, u, w, y, z}d) {q, r, w, y, z}

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

Jaxon has s packs of 8 crazy straws. he divided the crazy straws into 2 equal bags. now, he has 224 crazy straws in each bag. how many packs of crazy straws did jaxon start with?

Answers: 1

Answer

You know the right answer?

What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) – 4 = 0 as a quadratic equation? u...

Questions

Mathematics, 12.07.2019 18:00

Computing if a computer can do one calculation in 0.0000000015 second, then the function t(n) = 0.0000000015n gives the time required for the computer...