百度试题 结果1 题目(ii) a quadratic equation with roots 相关知识点: 试题来源: 解析 sum of new roots= =(3(a^3+β^3))/(|aβ|^3) =9/((Qβ)^3) =9/((6/4)^3) =8/3 =-3/2 =-8/9 反馈 收藏
if a, b and c are all rational numbers and one root of the quadratic equation isa+√bthen the second root will automatically becomea-√b. that can be understood easily as we use one+veand one-vesign in the quadratic formula. These types of roots are calledConjugate Roots. If a & b...
If the quadratic equation x2 ax a=1 has equal roots, then a=( ). 设a为一常数.若二次方程x2 ax a=1有等根,则a=( ). A. −1. B. 2. C. 0 or −4.0或−4. D. 0 or 4.0或4. 相关知识点: 试题来源: 解析 B x2+ax+a=1 x2+ax+a−1=0 Since it has equal ...
let k be a constant,if A and B are the roots of the equation x2 - 3x +k = 0,the A2 + 3B = ?k 是恒数,如果A和B是x 2- 3x+ k= 0的根,A2 + 3B = ? 相关知识点: 试题来源: 解析 因为A和B是x 2 - 3x+ k= 0的两个根,所以A+B=3,即B=3-A将B带入A2 + 3B 原式转化为...
Thus . Indeed, consider the quadratics , . If the roots of are and and the roots of are and , then using Vieta's equations, Therefore, substituting the second equation into the first equation gives and substituting the fourth equation into the third equation gives Therefore, , so ....
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)各根,(ii)该常数k.可参考原版英文请给我算式我不会做只知道是要...
So "the product of $$x$$ minus a root multiplied by $$x$$ minus the other root is equal to the quadratic equation that has these roots as a solution". Example If the solutions of the equation are $$x_1=4,x_2=2$$ the corresponding quadratic equation is: ...
Understand the meaning of the roots of an equation and how to find the roots of a quadratic equation. Also, see the formula used in finding the...
Find the equation whose roots are squares of the roots ofx4+x3+2x2+x+1=0 View Solution Find the roots of the quadratic equations by applying the quadratic formula. (i)2x2−7x+3=0 (ii)2x2+x−4=0 (iii)4x2+4√3x+3=0
Which quadratic equation has roots 2 + 3i and 2 - 3i? Which quadratic equation has roots (-1+4i) and (-1-4i)? Which quadratic equation has roots -8+3i and -8-3i? The roots of the quadratic equation z^{2}+az+b=0 are 2-3i and 2+3i. What is a+b?