Questions and answers by

Jayden Haddy

Questions (25)

If the sum of the squares of the roots of the quadratic equation ax^2 + bx + c = 0 is m:n, prove that b^2= 2ac + 4a^2I really
1. 1 answer
2. 561 views
Consider the quadratic equationm^2 x^2 + 2(2m-5)x + 8 = 0 a) If 2 is a root of the equation, find the possible values of m
1. 1 answer
2. 599 views
Consider the quadratic equationm^2 x^2 + 2(2m-5)x + 8 = 0 a) If 2 is a root of the equation, find the possible values of m
1. 1 answer
2. 434 views
If the ratio of the roots of the quadratic equation ax^2 + bx +c =0 is m:nprove that mnb^2=(m+n)^2 ac
1. 2 answers
2. 562 views
If the roots of x^2 - px + q = 0 are two consecutive integers, prove that p^2 - 4q -1 = 0
1. 1 answer
2. 463 views
a)If one root of the equationx^2 + a(3a-5)x = 2(x+4a) is negative of the other. Find the values of a . b) If a>0, use the result
1. 1 answer
2. 450 views
Given that a and b are the roots of the quadratic equation 2x^2 - 4x +3 = 0, find the quadratic equation in x with rootsa^2-(1/b
1. 1 answer
2. 425 views
If one of the root of the quadratic equation ax^2 + bx +c =0 is three times the other, show that 3b^2 = 16ac
1. 3 answers
2. 3,155 views
If the roots of the quadratic equation4x^2 + px +5 = 0 are a and a+2, find the real values of p .
1. 1 answer
2. 479 views
Find the value of k if the product of the roots of the quadratic equationkx^2 + 4x + k^2 -21 = 0 is 4
1. 1 answer
2. 411 views
if a, b,c are real numbers and not all equal, prove that the equation(c-a)x^2 -2(a-b)x + (b+c) = 0 has unequal real roots
1. 1 answer
2. 407 views
x^2 - 20x +c =0one of the root of the equation is the three times the other, find the values of c and the roots
1. 1 answer
2. 382 views
if a, b,c are real numbers and not all equal, prove that the equation(c-a)x^2 -2(a-b)x + (b+c) = 0 has unequal real roots
1. 0 answers
2. 384 views
given that a,b,c are real numbers and c is bigger than 0, prove that the roots of the equation (x-a)(x-b)=c are real.
1. 1 answer
2. 404 views
prove that if m is not equal to n, the equation (m^2+n^2)x^2 - 2(m+n)x + 2=0 has unreal roots.
1. 1 answer
2. 730 views
Let ( x(square)+ 3x +1) over (2 x(square) -5x+2) = k ----------be y1) Express y in the form of a x(square) + bx +c =0 2) If -3/4
1. 2 answers
2. 457 views
Prove that if p and q are rational and p is not equal to 0, the roots of the quadratic equations p x(square) + 2qx -p +2q = 0
1. 1 answer
2. 448 views
Prove that if p and q are rational and p is not equal to 0, the roots of the quadratic equations p x(square) + 2qx -p +2q = 0.
1. 0 answers
2. 402 views
Find the discriminant of the equations in terms of kk x(square)-(3k-5)x +14 = 0
1. 1 answer
2. 368 views
Let ( x(square)+ 3x +1) over (2 x(square) -5x+2) = k ----------be y1) Express y in the form of a x(square) + bx +c =0 2) If -3/4
1. 1 answer
2. 444 views
Consider the equation x(square) + 4px + 2q = 0 where p and q are real constants.a) by completing square, show that (x+2p)square
1. 2 answers
2. 1,182 views
solve the following equation by completing the squarex(square) -13x + 21 = 0 Then x= or x=
1. 1 answer
2. 583 views
solve the following equation by completing the squarex(square) - 4(square root 5)x =6 = 0 Then x= or x=
1. 1 answer
2. 492 views
solve the following equation by completing squarex(square) + 5x - 84 Pls show steps x= or x=
1. 1 answer
2. 834 views
solve the equationexpress the answers in p and q x(square) - (p+q)x + (p+1)(q-1)=0 Then x=? or x=?
1. 2 answers
2. 398 views