Final answer:
The student's question is related to solving polynomial equations in mathematics, suitable for the high school level. The use of the quadratic formula is implied for equations that could be simplified to a second-degree polynomial. Simplifying the algebra and verifying the solution are important steps in the process.
Step-by-step explanation:
The student's question appears to be in reference to the subject of solving polynomial equations, which falls within the domain of Mathematics, particularly at the High School level. The expression provided, 8x³ +6x-1, is a polynomial, and the reference to 'ax²+ bx + c = 0' suggests the use of the quadratic formula for solving equations, which can be applied if the polynomial can be simplified or factored to a degree 2 polynomial.
To solve an equation such as x² + 1.2 x 10⁻²x - 6.0 × 10⁻³ = 0, one would indeed use the quadratic formula, where 'a', 'b', and 'c' are the coefficients of the quadratic equation. To ensure the solution is correct, the steps include:
- Ensuring all terms are on one side of the equality and the equation is set to zero.
- Eliminating terms wherever possible to simplify the algebra.
- Checking the answer to confirm if it is reasonable after calculations.
Additional resources such as the Equation Grapher might be used to visually understand the polynomial curve and the effects of different constants on its shape.