Question

Please give the given question solution in the diagram

Answer 1

Answer:

      x² + 6x - 72

Step-by-step explanation:

x² + x - 12 = 0

x² + 4x - 3x - 12 = 0

x(x + 4) - 3(x + 4) = 0

(x - 3) (x + 4) = 0

x = 3 , -4

          ∝ > β  

∴ ∝ = 3   ,    β = -4

Roots of another equation is 2∝ and 3β

2∝ = 2 × 3 = 6      ,       3β = 3 × -4

2∝ = 6     ,       3β = -12

general quadratic equation = x² - x(∝ + β) + ∝β

for this equation ---  ∝' = 2∝  ,  β' = 3β

equation :- x² - x(2∝ + 3β) + 2∝.3β

= x² - x(6 + -12) + 6 × -12

= x² - (-6x) + (-72)

= x² + 6x - 72

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