Solve the quadratic equation below. If the solutions are not real, enter NA. 15x^(2)-x-2=0 The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 x+1;x-1). The order of the list does not matter. To enter sqrta, type sqrt(a). x=

Question

Solve the quadratic equation below. If the solutions are not real, enter NA.  15x^(2)-x-2=0 The field below accepts a list of numbers or formulas separated by semicolons (e.g.  2;4;6  x+1;x-1). The order of the list does not matter. To enter  sqrta, type  sqrt(a).  x=

Bytelearn · Accepted Answer

Identify coefficients:  Identify the coefficients of the quadratic equation 15x^2 - x - 2 = 0. Here, a = 15, b = -1, and c = -2. Calculate discriminant:  Calculate the discriminant using the formula Δ = b^2 - 4ac. For this equation, Δ = (-1)^2 - 4*15*(-2) = 1 + 120 = 121. Determine roots:  Since the discriminant Δ = 121 is positive, there are two real and distinct roots. Use quadratic formula:  Calculate the roots using the quadratic formula, x = (-b ± sqrt(Δ)) / (2a). Substituting the values, x = (-(-1) ± sqrt(121)) / (2*15). Simplify calculations:  Simplify the calculations: x = (1 ± 11) / 30. So, x = (1 + 11) / 30 = 12 / 30 = 0.4 and x = (1 - 11) / 30 = -10 / 30 = -1/3.

Full solution

More problems from Find the roots of factored polynomials

Related topics