Question

(2x+1)²=3x+4 дискриминант

Answer 1

Ответ:

D=49

x1=-1

x2=0,75

Объяснение:

(2x+1)²=3x+4

4x²+4x+1-3x-4=0

4x²+x-3=0

D=1²+4*4*3=49

x1=(-1-7)/8=-1

x2=(-1+7)/8=0,75

Answer 2

Решение в приложении

Answer 3

To find the discriminant of the equation (2x + 1)² = 3x + 4, we first need to rewrite the equation in the form ax² + bx + c = 0.

Expanding (2x + 1)², we get: (2x + 1)² = 4x² + 4x + 1

So, the equation becomes: 4x² + 4x + 1 = 3x + 4

Rearranging the terms, we have: 4x² + 4x - 3x + 1 - 4 = 0

Simplifying further, we get: 4x² + x - 3 = 0

Now, we can identify the values of a, b, and c: a = 4 b = 1 c = -3

The discriminant (D) is calculated using the formula: D = b² - 4ac

Substituting the values, we have: D = (1)² - 4(4)(-3) D = 1 + 48 D = 49

Therefore, the discriminant of the equation (2x + 1)² = 3x + 4 is 49.