Byjus class 10 quadratic equations
WebThe value of 𝑘 for which the quadratic equation 𝑘𝑥2+1=𝑘𝑥+3𝑥−11𝑥2 has real and equal roots are. Login. Study Materials. NCERT Solutions. ... NCERT Solutions For Class 10. NCERT Solutions for Class 10 Social Science; NCERT Solutions for Class 10 Maths. WebNCERT Solutions For Class 10. NCERT Solutions for Class 10 Social Science; ... Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses. C. b ... Q. Assertion :If z 1, z 2 are the roots of the quadratic equation …
Byjus class 10 quadratic equations
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In the method of completing the squares, the quadratic equation is expressed in the form (x±k)2=p2. Consider the quadratic equation 2x2−8x=10 (i) Express the quadratic equation in standard form. 2x2−8x−10=0 (ii) … See more For a quadratic equation of the form ax2+bx+c=0, the expression b2−4ac is called the discriminant, (denoted by D), of the quadratic equation. The discriminant determines the … See more WebAccess Selina Solutions Concise Maths Class 10 Chapter 5 Quadratic Equations Exercise 5 (D) 1. Solve, each of the following equations, using the formula: (i) x2 – 6x = 27 Solution: Given equation, x 2 – 6x = 27 x 2 – 6x – 27 = 0 Here, a = 1 , b = -6 and c = -27 By quadratic formula, we have Therefore, x = 9 or -3 (ii) x2 – 10x + 21 = 0 Solution:
WebML Aggarwal Solutions for Class 10 Maths Chapter 5 – Quadratic Equations in One Variable are provided here to help students prepare for their exams at ease. This chapter mainly deals with problems based on … WebFind the two natural numbers which differ by 5 and the sum of whose squares is 97. Solution: Let’s assume the two natural numbers to be x and x + 5. (As given they differ by 5) So from the question, x 2 + (x + 5) 2 = 97 2x 2 + 10x + 25 – 97 = 0 2x 2 + 10x – 72 = 0 x 2 + 5x – 36 = 0 (x + 9) (x – 4) = 0 x = -9 or 4
Webof the quadratic equation ax2 + bx + c = 0 can be found by equating each factor to zero. 4. A quadratic equation can also be solved by the method of completing the square. 5. …
WebAn algebraic expression of degree 2 is called the quadratic equation. The general form of a quadratic equation is ax2 + bx + c = 0, where a, b and c are real numbers, also called …
WebThe correct option is C 25 ax2−2bx+5 =0 has both roots as α ⇒ Sum of roots, α+α= 2α = 2b a ⇒α = b a And product of roots, α⋅α= α2 = 5 a ⇒ b2 =5a(a≠0)⋯(1) ⇒ α+β = 2b and αβ =−10 β,α are the roots of x2−2bx−10= 0. α = b a ⇒ b2−2ab2−10a2 = 0 ⇒ 5a−10a2−10a2 =0 ( Using (1)) ⇒ a= 1 4⇒ b2 = 5 4 ⇒ α2 = 20,β2 = 5⇒ α2+β2 =25 Suggest Corrections 0 proximity crapWebThus, the given equation is a quadratic equation. (ii) 5x 2 – 8x = -3 (7 – 2x) ⇒ 5x 2 – 8x = 6x – 21 ⇒ 5x 2 – 14x + 21 = 0; which is of the general form ax 2 + bx + c = 0. Thus, the given equation is a quadratic … restaurant with espectacles athensWebThe graph of a quadratic function is a parabola which can be represented in two forms: Standard Form: a x 2 + b x + c Vertex Form or ( a − h − k) form: f ( x) = a ( x − h) 2 + k , where ( h, k) is vertex of parabola. The … proximity coupling deviceWeb1. Without solving, comment upon the nature of roots of each of the following equations: (i) 7x2 – 9x +2 = 0 (ii) 6x2 – 13x +4 = 0 (iii) 25x2 – 10x + 1= 0 (iv) x2 + 2√3x – 9 = 0 (v) x2 – ax – b2 = 0 (vi) 2x2 + 8x + 9 = 0 Solution: (i) Given quadratic equation, 7x 2 – 9x + 2 = 0 Here, a = 7, b = -9 and c = 2 So, the Discriminant (D) = b 2 – 4ac proximity coworkingWebSolution: Given, x 2 – 2x + 3 = 0 In the equation, a = 1 ; b = -2 ; c = 3 The formula for discriminant is, Δ = b 2 – 4ac => Δ = (-2) 2 – 4 (1) (3) =>Δ = 4 – 12 Δ = -8 < 0 Since the value of the determinant is negative, the equation will have no real solutions. Required fields are marked proximity csphWebR S Aggarwal Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4A Page No: 175 Question 1: Solution: A quadratic equation is an equation of the second degree. (i) x 2 – x + 3 = 0 Highest Degree: 2 Quadratic equation. (ii) 2x 2 + 5/2x – √3 = 0 Highest Degree: 2 Quadratic equation. (iii) √2x 2+7x+5√2=0 proximity dashboardWebAccess RD Sharma Solutions for Class 10 Maths Chapter 8 Quadratic Equations Exercise 8.8 1. The speed of a boat in still water is 8km/hr. It can go 15 km upstream and 22 km … proximity credit card