Please Hurry). Cora is using successive approximations to estimate a positive solution to f (x) = g (x), where f (x) = x^2 + 13 and g (x) =3x + 14. The table shows her results for different input values of x.​

f ( x ) = x^2 + 13

g ( x ) = 3x + 14

f ( x ) = g ( x )

x^2 + 13 = 3x + 14

Subtract sides minus 13

x^2 + 13 - 13 = 3x + 14 - 13

x^2 = 3x + 1

Subtract sides 3x

x^2 - 3x = 3x - 3x + 1

x^2 - 3x = 1

Subtract sides 1

x^2 - 3x - 1 = 1 - 1

x^2 - 3x - 1 = 0

Let's solve this equation for find the values of x .

* Reminder *

First of all we need to find the Delta using the following formula :

ax^2 + bx + c = 0

Delta = b^2 - 4ac

x = - b + delta^1/2 / 2a

..&..

x = - b + delta^1/2 / 2a

x^2 - 3x - 1 = 0

delta = (- 3)^2 - 4 × ( 1 ) × ( - 1 )

delta = 9 + 4

delta = 13

x = - ( - 3) + 13^1/2 / 2 × 1

x = 3 + 3.605 / 2

x = 6.605 / 2

x = 3.3025

x = 3.3 ( the nearest tenth )

..&..

x = - ( - 3) - 13^1/2 / 2 × 1

x = 3 - 3.605 / 2

x = - 0.605 / 2

x = - 0.3025

x = - 0.3 ( the nearest tenth )

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Thus we have two solutions for x which they are :

x = 3.3 ***&*** x = - 0.3

The question asked for the the positive solution so we can just accept x = 3.3

And we're done...

only 10/60 isn't equivalent

hope this : )

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.