An equation is known as a quadratic equation provided that the degree of the equation must be 2 that means the power of the degree deciding variable must be two. The representation for a quadratic equation is given as ax2+bx+c=0 where a,b and c are the real constant numbers...
C. Questions that require solutions9 Use suitable methods to solve the following quadratic equations in one variable:(1) (3x+1)^2=4 ;(2) x^2-4x-60=0 ;(3) 5(x-3)^2+x=3 ;(4) 5x^2-2x-7=0 ;(5) 1/2x-1=2x^2 ;(6) 3x^2+2√3x+1=0 ;(7) 3(x-2)^2=x^2-2x ;...
= (-3)2 - 4(5)(8) = 9 - 160 = -151The discriminant is -151, a negative number. So the equation 5x2 - 3x + 8 = 0 has no real number solutions.Example 2Use the discriminant to determine the nature of the solutions of this quadratic equation: 9x2 - 6x = -1Solution...
What are the solutions for the following quadratic equation: 4x^2 - 30x + 45 = 0 What are the solutions of the quadratic equation (x + 3)^2 = 49? What are the solutions to the quadratic equation (5y - 6)^2 = 24? What are the solution(s) of the quadratic equation 98...
To solve the problem, we need to analyze the given equation and determine the conditions under which it represents an ellipse. The equation is: (5x−1)2+(5y−2)2=(λ2−2λ+1)(3x+4y−1)2 Step 1: Rewrite the equationWe can rewrite the left-hand side of the equation as: (...
Graph the quadratic function, 3(x)^2+5x+9. Graph the quadratic function: y = -(x + 1)^2 + 3. Graph the quadratic function: y = (x - 1)(x - 4). Graph the quadratic function: y = -(x + 1)(x - 4). Which of the following quadratic functions has a graph which co...
When a trinomial has a leading coefficient of 1 (i.e., a monic polynomial)— as is in this case — all the $\Box$s reduce to 1 , which simplifies the search a bit: \begin{equation*}(x + a)(x + b) = x^2+13x + 36 \end{equation*} To explore a bit, we can expand the...
−3x2+13x+10=0 Question: Find the solution to the equation below. Quadratic Equation: An equation in which the highest power of the variable is two is known as a quadratic equation and its general form isax2+bx+c=0. To find the solution of the quadratic equation, we have...
Each equation contains anywhere from one to several terms, which are divided by numbers or variables with differing exponents. For instance, the equation y =3x13+ 5x3has two terms, 3x13and 5x3and the degree of the polynomial is 13, as that's the highest degree of any term in the equ...
d2ydx2 + pdydx + qy = 0and reduce it to the "characteristic equation":r2 + pr + q = 0Which is a quadratic equation that has three possible solution types depending on the discriminant p2 − 4q.When p2 − 4q is:positive we get two real roots, and the solution is...