已知三次方程x3+ax2+bx+c=0有三个正实数根s,r,t,满足1rs+1st+1tr=1.6,并且a+c=−2015.如果我们以r+s、s+t、t+r构造一个三角形,求这个三角形的面积. 【补充】已知三角形的三边长a,b,c,则三角形的面积可用如下高端公式来求: 海伦公式(Heron’s formula或Hero’s formula): S=√p(p...
Derive the quadratic formula from the standard form (ax^(2)+bx+c=0) of... 04:20 If -5 is a root of the quadratic equation 2x^(2)+Px-15=0 and the quadr... 04:04 If the roots of a quadratic equation x^(2)+2px+mn=0 are real and equal... 03:11 Solve the quadratic equa...
一元三次方程aX^3+bX^2+cX+d=0,(a,b,c,d∈R,且a≠0).重根判别式:A=b^2-3ac;B=bc-9ad;C=c^2-3bd,总判别式:Δ=B^2-4AC.当A=B=0时,盛金公式①(WhenA=B=0,Shengjin’s Formula①):X1=X2=X3=-b/(3a)=-c/b=-3d/c....
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How many solutions a quadratic equation of the form {eq}ax^2 + bx + c = 0, a \neq 0 {/eq} has?SolutionsThe solutions of a quadratic equation can be found using the quadratic formula which is an easy to apply and standard formula for all quadratic equati...
gradeamathhelp.com/how-to-factor-polynomials.html利用给的二次函数的(ax^2+bx+c=0)a,b,c求...
{eq}a\left(x^2 - (x_1 + x_2)x + x_1x_2\right) = 0 {/eq} Answer and Explanation:1 Given our quadratic equation: {eq}ax^2 + bx + c = 0 {/eq} Using the factored form: {eq}a (x - x_1) (x - x_2) = 0 {...
Solve the following quadratic equation using the quadratic formula 3x^2 +8x =16 . After writing the given equation in the form ax^2 + bx+c = 0 , where a 0 , identify the values of a, \ b, \text{ and } c . Ident...
For f(x, y) = x^2 + xy + y^2 + ax + by + c, find values of a, b, and c giving a local minimum at (2, 5) and so that f(2, 5) = 11. Consider a quadratic formula y=a_{2}x^{2}+a_{1}x+a_{0} where a_{0}=6.0,...
Suggests an approach which described the parabola that is connected with the main coefficient of a graph. Formula of the quadratic function coefficients; Algebraic presentation of the parabola equation; Use of formula for cubic functions and polynomials.SatianovPavelEBSCO_AspMathematics Teacher...