Question

4+5x(x-36+56)=98637282​

Answer 1

4+5х в квадрате -180х＋280х＝98637282

Answer 2

To solve the equation $4 + 5x(x - 36 + 56) = 98637282$, follow these steps:

1. Distribute the $5x$ term: $4 + 5x^2 - 5x \cdot 36 + 5x \cdot 56 = 98637282$

2. Simplify the equation: $4 + 5x^2 - 180x + 280x = 98637282$ $5x^2 + 100x - 98637278 = 0$

3. Now you have a quadratic equation in the form $ax^2 + bx + c = 0$, where $a = 5$, $b = 100$, and $c = -98637278$. To solve for $x$, you can use the quadratic formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Plugging in the values: $x = \frac{-100 \pm \sqrt{100^2 - 4 \cdot 5 \cdot -98637278}}{2 \cdot 5}$

4. Calculate the discriminant ($b^2 - 4ac$): $b^2 - 4ac = 100^2 - 4 \cdot 5 \cdot -98637278 = 10000 + 1972745560 = 1972755560$

5. Substitute the discriminant back into the quadratic formula: $x = \frac{-100 \pm \sqrt{1972755560}}{10}$

6. Calculate the square root of the discriminant: $\sqrt{1972755560} \approx 44431.8311$

7. Now, solve for $x$: $x = \frac{-100 + 44431.8311}{10} \approx 4443.1831$ $x = \frac{-100 - 44431.8311}{10} \approx -4443.1831$

So, the solutions for the equation $4 + 5x(x - 36 + 56) = 98637282$ are approximately $x \approx 4443.1831$ and $x \approx -4443.1831$.