show clearly that 4 3
---=8
2
solve the equation 5x2+14x-24=0
sorry the question was, show clearly that,
4 3
-- =8
2
4 3
- =8
2
Sorry, we don't understand your question.
You can write fractions with the "/" sign, such as:
2+3/2 = 3+1/2
Sure, I can help you solve the equation 5x^2 + 14x - 24 = 0.
To solve this quadratic equation, we will use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
The given equation is in the form ax^2 + bx + c = 0. In this case, a = 5, b = 14, and c = -24.
Substituting these values into the quadratic formula, we have:
x = (-(14) ± √((14)^2 - 4(5)(-24))) / (2(5))
Simplifying this equation, we get:
x = (-14 ± √(196 + 480)) / 10
x = (-14 ± √676) / 10
Now, let's calculate the square root:
√676 = ±26
x = (-14 + 26) / 10 or x = (-14 - 26) / 10
Simplifying the equations, we have:
x = 12 / 10 or x = -40 / 10
x = 1.2 or x = -4
Therefore, the solutions to the equation 5x^2 + 14x - 24 = 0 are x = 1.2 and x = -4.