Web24 mrt. 2024 · Complete step-by-step answer: We know that if in quadratic equation ax2 + bx + c = 0 when the two roots are equal then its discriminant is equal to zero I.e. b2 − … Web8 sep. 2024 · we know that if the discreaminant ≥ 0 then the quadratic equation has real roots. b² - 4ac ≥ 0 4² - 4 × p × 1 ≥ 0 16 - 4p ≥ 0 - 4p ≥ - 16 multiply both sides with ( -1 ) , we get 4p ≤ 16 p ≤ 16 / 4 p ≤ 4 therefore , …
IF one root of the equation `px^2+qx+r=0` is the cube of the …
Web14 okt. 2024 · px² - px + 1 = 0 The quadratic equation has equal roots ⇒ The discriminant is equal to zero Find p: b² - 4ac = 0 Sub a = p , b = -p , c = 1 into the equation: (-p)² - 4 (p) (1) = 0 Evaluate each term: p² - 4p = 0 Take out common factor p: p ( p - 4) = 0 Apply zero product property: p = 4 or p = 0 (rejected as it will make the equation meaningless) Web14 jan. 2024 · Given quadratic equation is, px² -2√5 px + 15 = 0 Compare px² - 2√5 px+ 15 = 0 with ax²+ bx+ c = 0 a = p, b = - 2√5 p , c = 15 We know that, If the roots of the quadratic equation are equal, then it's discriminant (D) equals to zero. discriminant = 0 b² - 4ac = 0 (- 2√5 p)² - 4 x p x 15 = 0 20p² - 60p = 0 20p (p - 3) = 0 p - 3 = 0 p = 3 proform treadmill power button
If the quadratic equation px 2 2 √5 px +15=0, has two roots then …
Web17 nov. 2011 · Finding the values of p for which the equation x^2+px+p=0 has no real roots WebIf the quadratic equation px 2 – 2√5px + 15 = 0 has two equal roots, then find the value of p. Solution : Short Answer Type Questions I [2 Marks] Question 31. Solve the following quadratic equation for x: 4x 2 – 4a 2 x + (a 4 – b 4 ) = 0 Solution : Question 32. Solve the following quadratic equation for x: 9x2 – 6b2 x – (a4 – b4 ) = 0 Solution : WebFind the p and q such that px 2+5x+2=0 and 3x 2+10x+q=0 have both roots in common Medium Solution Verified by Toppr Given set of equation are px 2+5x+2=0 .......... (1) 3x 2+10x+q=0 ........ (2) As (1) & (2) are having same roots Sum of roots are equal (c/a) $$ \dfrac {2} {p}= \dfrac {2} {3}$$ $$\dfrac {2} {3/2}= \dfrac {2} {3}$$ ⇒q=4 proform treadmill prosoft plus