3In the quadratic equation in one variable x,ax2+bx+c=O(a≠),the discriminant△=_.When△is_,the equation has two distinct real roots.When△isthe equation has two equal real roots.When△O,the equation hasreal roots.When△≥O,the two roots of the equation are x=and x2=3 In the ...
View Solution Ifαβ(α<β)are two distinct roots of the equation.ax2+bx+c=0, then View Solution Ifαand betaarethes√ofax^2+bx+c=0andalpha+beta,alpha^2+beta^2,alpha^3+beta^3are∈GP(GeometicProgression)andDwlta-b^2-4acthen ...
In quadratic equation cx2+bx+c=0 find the ratio b:c if the given equation has equal roots A1:2 B2:1 C4:1 D1:4Submit The quadratic equation ax2+bx+c=0 has real roots if: Ahe highest non-positive integer Bthe lowest negative number Cdepends on roots Dnone of the aboveSubmitIf...
This chapter discusses the properties of quadratic function. It presents the formula for the solution of a quadratic equation. The standard equation is ax 2 + bx + c = 0, and α, β are usually considered as the roots of the equation. If b 2 > 4 ac , then both α and β exist ...
Examples:If the left-hand side of a quadratic equation of the form ax2+ bx + c= 0 can be factorised, the equation can be solved.Solve a x^2-9x+20=0 b 1^2+8^2=0c2-64=0 相关知识点: 试题来源: 解析 a (x-4)(x-5)=0 Factorise .x² - 9x + 20x-4=0orx-5=0x=4or...
Completing the square used to solve a quadratic equation when factoring will not work. It is a technique that is used to write a quadratic equation in standard form as one that has a perfect square term. The standard quadratic equation is ax2+bx+c=0. Answer and Explanation: ...
Answer to: Write the equation 3x^2 = 4x + 8 in the form ax^2 + bx + c = 0. Then identify the values of a, b, and c. Do not solve the equation. By...
In mathematics, the quadratic formula is a formula we can use to find the solutions to the quadratic equation ax2 + bx + c = 0, where a, b, and c are real numbers. This formula states that the solutions to this equation are given by the formula {eq}x=\frac{...
The Quadratic Formula is a rule that says that, in any equation of the formax2+bx+c= 0, the solutionx-values of the equation are given by: x=−b±b2−4ac 2ax = \dfrac{-b \pm\sqrt{b^2 - 4ac\,}}{2a}x=2a−b±b2−4ac ...
Quadratic Equations: Identifying Terms ax2+bx+c=0 x1 x2 a(x−x1)(x−x2)=0 Which allows us to rewrite this equation in a standard form using the FOIL method: a(x2−(x1+x2)x+x1x2)=0 Answer and Explanation:1 Given our quadratic...