Question

Пожалуйста помогите, очень надо. 1. Чему равна сумма корней уравнения? x2-16x+3=0 а) 16 б)-16 в) 3 г)-3 x2+7x+2=0 a)-7 б) 7 в)-2 г) 2 2 Упростить выражение Корень из 19у+корень из 16у-корень из 36у . Корень 49х- корень из 25х+ корень из 4х. Пожалуйста помогите, очень надо

Answer 1

1) Надо применять теорему Виета:

Сумма корней квадратного уравнения равна -b/a.

b = -16, -b/a = 16.

Ответ: 16

У второго уравнения – ответ: -7; Та же логика, берешь коэффициент b и меняешь знак, так как a = 1..

2) А во здесь не.понятно... Лучше сфоткайте.

Answer 2

Sum of the Roots of the Equation x^2 - 16x + 3 = 0

To find the sum of the roots of the equation x^2 - 16x + 3 = 0, we can use Vieta's formulas. Vieta's formulas state that for a quadratic equation of the form ax^2 + bx + c = 0, the sum of the roots is equal to -b/a.

In this case, the equation is x^2 - 16x + 3 = 0. Comparing it to the standard form ax^2 + bx + c = 0, we can see that a = 1, b = -16, and c = 3. Therefore, the sum of the roots is -(-16)/1, which simplifies to 16.

Simplifying the Expression: √(19u) * √(16u) - √(36u)

To simplify the expression √(19u) * √(16u) - √(36u), we can use the properties of square roots.

First, let's simplify the individual square roots: - √(19u) can't be simplified further because 19 is a prime number. - √(16u) can be simplified to 4√u, since 16 is a perfect square (4^2).

Now, let's substitute the simplified square roots back into the expression: √(19u) * √(16u) - √(36u) = √(19u) * 4√u - √(36u)

Next, we can simplify the expression by multiplying the coefficients outside the square roots: 4√(19u) * √u - √(36u) = 4√(19u) * √u - 6√u

Finally, we can combine like terms by adding or subtracting the square roots with the same radicand (the expression inside the square root): 4√(19u) * √u - 6√u = (4√(19u) - 6√u)

Therefore, the simplified expression is 4√(19u) - 6√u.

Simplifying the Expression: √(49x) - √(25x) + √(4x)

To simplify the expression √(49x) - √(25x) + √(4x), we can use the properties of square roots.

First, let's simplify the individual square roots: - √(49x) can be simplified to 7√x, since 49 is a perfect square (7^2). - √(25x) can be simplified to 5√x, since 25 is a perfect square (5^2). - √(4x) can be simplified to 2√x, since 4 is a perfect square (2^2).

Now, let's substitute the simplified square roots back into the expression: √(49x) - √(25x) + √(4x) = 7√x - 5√x + 2√x

Next, we can combine like terms by adding or subtracting the square roots with the same radicand (the expression inside the square root): 7√x - 5√x + 2√x = (7 - 5 + 2)√x

Finally, we can simplify the expression by performing the arithmetic: (7 - 5 + 2)√x = 4√x

Therefore, the simplified expression is 4√x.