Question

7x² +23x + 5 =0 factotize it​

Answer 1

Answer:

Hmmm...7x² +23x + 5 =0 is the answer. It cannot be further factorised.

Or if you wanted to solve for x... scroll downwards for step by step.

1. x =(3-√149)/14=-0.658

2. x =(3+√149)/14= 1.086

Step-by-step explanation:

Factorising

The first term is, 7x2 its coefficient is 7 .

The middle term is, -3x its coefficient is -3 .

The last term, "the constant", is -5

Step-1 : Multiply the coefficient of the first term by the constant 7 • -5 = -35

Step-2 : Find two factors of -35 whose sum equals the coefficient of the middle term, which is -3 .

-35 + 1 = -34

-7 + 5 = -2

-5 + 7 = 2

-1 + 35 = 34

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 2 :

7x2 - 3x - 5 = 0

If you wanted to solve for x....

Solving 7x2-3x-5 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 7

B = -3

C = -5

Accordingly, B2 - 4AC =

9 - (-140) =

149

Applying the quadratic formula :

3 ± √ 149

x = —————

14

√ 149 , rounded to 4 decimal digits, is 12.2066

So now we are looking at:

x = ( 3 ± 12.207 ) / 14

Two real solutions:

x =(3+√149)/14= 1.086

or:

x =(3-√149)/14=-0.658

Answer 2

hey buddy,

here is your ans..

Step-by-step explanation:

${7x}^{2} + 23x + 5 = 0 \\d = b {}^{2} - 4ac \\ = (23) {}^{2} - 4(7)(5) \\ = 529 - 128 \\ = 401 \\ \\ \alpha = \frac{ - b + \sqrt{d} }{2a} = \frac{ - 23 + \sqrt{401} }{2(7) } \\ \beta = \frac{ - b - \sqrt{d} }{2a} = \frac{ - 23 - \sqrt{401} }{2(7)}$

I hope it helps you

thank you

have a great day buddy ☺✌