A quadratic equation has the form: Y = A * X^2 + B * X + C Since we have three points, we have three sets of values for X and Y. That gives us three equations and three unknowns: A, B, and C. Plugging in the points (X1, Y1), (X2, Y2), and (X3, Y3) gives: Y1 ...
( x=-1/2) and ( x=3/4) are the two real distinct solutions for the quadratic equation, which means that ( x+1/2) and ( x-3/4) are the factors of the quadratic equation. ( (x+1/2)(x-3/4)=0) Expand ( (x+1/2)(x-3/4)) using the FOIL Method. ( x⋅ x...
According to the problem, coefficients of the required quadratic equation arereal and its one root is -2 + i.We know in a quadratic with real coefficients imaginary roots occur inconjugate pairs).Since equation has rational coefficients, the other root is -2 - iNow, the sum of the roots ...
find the equation of the quadratic relationwith graph.这句话的意思是：找出这个曲线与二次方程式的关系。句中equation表示公式，例如：The equation is simple: research breeds new products.equation of the quadratic表示二次方程。graph表示曲线。这句话是提出了一个要求，那就是找出曲线与二次方程...
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Consider the quadratic equationx2 + y2 + Dx + Ey + F = 0:What condition on the values of D,E and F determines whether this a circle?Use this condition to show thatx2 + y2 ¡ 2x ¡ 4y + 3 = 0is a circle and sketch the circle.Does the point (0:4; 3) lie inside,out...
Given the quadratic equation in the variable x, x2−kx+k2−4=0. (1) Find the value of k such that both the solutions to the equation are positive; (2) Find the value of k such that there is only one positive solution to this equation.相关知识点: ...
一题简单的英文版高级数学题.The quadratic equation x^2-x=k(x+1) has non-zero roots which differ by 1.Find the value of (i) each root,(ii)the constant k.翻译:二次方程 x^2-x=k(x+1)具有差别1的非零根.找以下的值(i)各
Find the discriminant of each quadratic equation then state the number of real and imaginary solutions.21)-x^2-9=6x 251-9x^2=-8x+8 2214x^2=8x-4 2619x^2+6x+6=5 231-4x^2-4x=6 27)9x^2-3x-8=-10 24)8x^2-6x+3=5x^2 281-2x^2-8x-14=-6 相关知识点: 试题来源: 解析 ...
(a) ax^2+bx+c=0α+β-b/aandαβ-c/aα^2+β^2=(α+β)^2-2αβ=(-b/a)^2-2(c/a)=(b^2)/(a^2)-(2c)/a=(b^2-2ac)/(a^2)(b)Sum of roots =(b^2-2ac)/(a^2)Product of roots =a^2β^2=(αβ)^2=(c/a)^2=(c^2)/(a^2)The quadratic equation with ro...