Question

49х в квадрате + 4,5х = 0

Answer 1

49х в квадрате+4,5=0

2401×+4,5×=0

2405,5×=0:2405,5

×=0

Answer 2

To solve the quadratic equation $49x^2 + 4.5x = 0$, we need to find the values of $x$ that make the equation true. First, let's rewrite the equation in the standard form of a quadratic equation:

$49x^2 + 4.5x = 0$

To solve for $x$, we can factor out the common term $x$ from the equation:

$x(49x + 4.5) = 0$

Now, we have a product of two factors equal to zero. According to the zero product property, for the product to be zero, at least one of the factors must be zero:

1. $x = 0$
2. $49x + 4.5 = 0$

Solving for the second equation:

$49x + 4.5 = 0$

Subtract $4.5$ from both sides:

$49x = -4.5$

Finally, divide both sides by $49$ to find the value of $x$:

$x = -\frac{4.5}{49}$

So, the solutions to the equation are:

1. $x = 0$
2. $x = -\frac{4.5}{49}$