Question

Решить квадратное уравнение 3x²-2=10

Answer 1

${3x}^{2} - 2 = 10$
${3x}^{2} = 10 + 2$
${3x}^{2} = 12$
${x}^{2} = 4$
$x _{1} = - 2$
$x _{2} = 2$

Answer 2

To solve the quadratic equation 3x² - 2 = 10, you need to get it in the standard form, which is ax² + bx + c = 0. In this case, a = 3, b = 0 (since there is no x-term), and c = -12 (move 10 to the left side by subtracting 10 from both sides):

3x² - 2 - 10 = 0 3x² - 12 = 0

Now, to solve the equation, you can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Substitute the values:

x = (0 ± √(0² - 4 * 3 * -12)) / (2 * 3) x = (± √(0 + 144)) / 6 x = (± √144) / 6 x = ±12 / 6

Now, simplify:

x = ±2

So, the solutions to the quadratic equation are x = 2 and x = -2.