The roots of the quadratic equation 4x2 = 2 + 7x are best described as?

Question

4x^ 2= 2 + 7x

Answer 1

4x² -7x - 2 = 0

Using the quadratic equation, the roots (x) can be:
= [7 ± √ (49 + 32)] / 8

= [7 ± √81] / 8

= 16/8 or -2/8

= 2 or -1/4

The roots of the equation are real and rational.

Answer 2

4x2= 2 + 7x

4x2 - 7x - 2 = 0

( 4 x + 1 ) ( x - 2 ) = 0

4x + 1 = 0 or x- 2 = 0
x = -1 / 4 x = 2

the roots are -1 / 4 and 2

Answer 3

to remedy this it won't be in a position of be factored so which you will could use the quadratic equation. the respond is a real irrational huge sort. the quadratic equation is (-b(plus or minus)sqrt(b^2-4(a)(c))all divided with the aid of 2a as quickly as you're making the full element equivalent 0 you come out with 4x^2-7x-2=0 plug that into the formulation and you get an somewhat final answer of (7(plus or minus)sqrt(32))/8 it relatively is the respond. i'm assuming it relatively is for college so ask whoever assigned it in the event that they desire the roots simplified wherein case sqrt(32) could equivalent 4(sqrt(2)) with the aid of the way the two considered one of the different solutions are incorrect. the 1st is incorrect via fact they fordot to function the -b to the start of their quadratic formulation and the 2nd is incorrect via fact the two "b" and "c" are unfavorable and as a result no longer factorable

Answer 4

4x2, is that 4x times 2 or 4 times 2?

Answer 5

4x² - 7x - 2 = 0
(4x + 1)(x - 2) = 0
x = -¼
x = 2.
The roots are two unequal real numbers.

Answer 6

Real, not imaginary.