Students were asked to answer a question at schools and to state what is most important for them to succeed. From the numerous replies, the one which that stood out was practice. Persons who are successful do not become successful by being born. They work hard and perseverance their lives to succeeding. This is how you can attain your goals. following some question and answer examples that you possibly will benefit from to expand your knowledge and gain insight that will guide you to preserve your school studies.

## Question:

Matthew solved the quadratic equation shown

4×2-24x + 7 = 3

One of the steps that Matthew used to solve the equation is shown

Step: 4 (2 – A)^2= B

Solution: x =C+/-D

square root of E

Fill in the blanks from the choices below. you may use a number more than once:

2,3,5,6,24,32,36, 148, 154

A should be…

B should be…

C should be…

D should be…

and E should be…

## Answer:

**Answer:**

i. A = 6

ii. B = 32 + 32 = 64

iii. C = 3

iv. D = 36 ÷ (6 + 5 + 2) = 2.8

v. E = (148 × 2) + (36 × 6) = 512

**Step-by-step explanation:**

From the given quadratic expression;

-24x +7 = 3

-24x +7 – 3 = 0

-24x + 4 = 0

Applying the quadratic formula,

x = (-b ± ) ÷ 2a

We have; a = 4, b = -24 and c = 4.

So that,

x = (- (-24) ± ) ÷ 2(4)

= (24 ± ) ÷8

= (24 ± ) ÷8

= (24 ± 22.63) ÷8

x = (24 + 22.63) ÷8 or (24 – 22.63) ÷8

= or

x = 5.8 or 0.2

Therefore, x = 5.8 or x = 0.2.

From these steps and solution, A = 6, B = 64, C = 3, D = 2.8 and E = 512.

From the answer and question examples above, hopefully, they can definitely assist the student deal with the question they had been looking for and observe of most things stated in the answer above. You can easily then have a discussion with your classmate and continue the school learning by studying the subject alogside each other.