Question

5.решить уравнение 4*x^2-25=0: A.2,5; B.-2,5; C.-2,5; 2,5; D.-10; 10.

Answer 1

4х²-25=0
4х²=25
х²=25/4
х= -2.5, х=2.5
правильный ответ С :3

Answer 2

To solve the quadratic equation 4*x^2 - 25 = 0, we can use the method of factoring or the quadratic formula. Let's use the factoring method:

Step 1: Write the equation in the form of (ax^2 + bx + c) = 0: 4*x^2 - 25 = 0

Step 2: Factor the equation: (2x + 5)(2x - 5) = 0

Step 3: Set each factor equal to zero and solve for x: 2x + 5 = 0 --> 2x = -5 --> x = -5/2 (This corresponds to option C) 2x - 5 = 0 --> 2x = 5 --> x = 5/2 (This corresponds to option D)

So, the solutions to the equation are x = -5/2 and x = 5/2. The correct answer would be:

C. -2.5; D. 2.5