Question

2x²+√5-30 = 0 quadratic equation in any method ​

Answer 1

Answer :

x = -2√5 , 3√5/2

Solution :

• Given equation : 2x² + √5x - 30 = 0
• To find : Roots

We have ;

=> 2x² + √5x - 30 = 0

=> 2x² + 4√5x - 3√5x - 30 = 0

=> 2x(x + 2√5) - 3√5(x + 2√5) = 0

=> (x + 2√5)(2x - 3√5) = 0

=> Either (x + 2√5) = 0 OR (2x - 3√5) = 0

Case1 : If x + 2√5 = 0

=> x + 2√5 = 0

=> x = -2√5

Case2 : If 2x - 3√5 = 0

=> 2x - 3√5 = 0

=> 2x = 3√5

=> x = 3√5/2

Hence , x = -2√5 , 3√5/2

Answer 2

2x^2+√5-30 = 0

2x^2+√25 = 0

2x^2+5 = 0

4x+5=0

4x=0-5

x=-5/4

-1.25. Answer