Question

(2x+1)^2-3(x-5)^2=(3+x)(x-3)​

Answer 1

Ответ:

Объяснение:

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Answer 2

Ответ:

Объяснение:

(2х+1)²-3(х-5)²=(3+х)(х-3)

(а-b)²=а²-2 * ab+b²

(а+-b)²=а²+2 * ab+b²

4х²+4²+1-3(х²-10х+25)=3х-9+х²-3х

4х²+4х+1-3х²+30х-75=-9+х²

х²+34х-74=-9+х²

34х-74=-9

34х=-9+74

34х=65

х=65/34

Answer 3

Let's simplify the given equation step by step:

(2x + 1)^2 - 3(x - 5)^2 = (3 + x)(x - 3)

Expanding the squares on the left side:

(4x^2 + 4x + 1) - 3(x^2 - 10x + 25) = (3 + x)(x - 3)

Simplifying further:

4x^2 + 4x + 1 - 3x^2 + 30x - 75 = 3x - 9

Combining like terms:

4x^2 - 3x^2 + 4x + 30x + 1 - 75 = 3x - 9

Simplifying the equation:

x^2 + 34x - 74 = 3x - 9

Moving all terms to one side:

x^2 + 34x - 3x - 74 + 9 = 0

Simplifying further:

x^2 + 31x - 65 = 0

Now we have a quadratic equation in the form of ax^2 + bx + c = 0, where a = 1, b = 31, and c = -65.

To solve this equation, we can either factor it or use the quadratic formula. Let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values, we get:

x = (-(31) ± √((31)^2 - 4(1)(-65))) / (2(1))

Simplifying the expression:

x = (-31 ± √(961 + 260)) / 2

x = (-31 ± √(1221)) / 2

Now, we can calculate the approximate values for x using a calculator or a mathematical software. The solutions might be complex or real, depending on the discriminant (b^2 - 4ac).