What are the approximate solutions of 2x2 − 7x = 3, rounded to the nearest hundredth?
a: no real solutions
b: x ≈ −0.77 and x ≈ 7.77
c: x ≈ −0.39 and x ≈ 3.89
d: x ≈ −3.89 and x ≈ 0.39

Option C is the correct option.

Step-by-step explanation:

The given equation is 2x² - 7x - 3 = 0

In this quadratic equation we will use quadratic formula to get the roots of x.

By putting values of a = 2, b = -7 and c = -3 in the quadratic formula

Now we get two values for x

and

Therefore option C. is the answer.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24