Question

If the roots of the quadratic equation are 3 and 5 -2, then the quadratic equation will be (1) x2 + x-6 = 0 (2) x2 + x + 6 = 0 (3) x2 - X-6 = 0 (4) x2 - X+6 = 0 hinh the quadra 1

Answer 1

Answer:

Given that one root of the quadratic equation is 3−2 √5

Since the coefficients of the quadratic equation are real , the other root must be 3+2 √5

The sum of roots will be 3−2√5 +3+2 √5 =6

The product of roots will be (3+2 √5 )(3−2 √5 )=9−20=−11

So the quadratic equation will be x2 −6x−11=0

Answer 2

Answer:

2x^2 +x−6=0

⇒2x^2 +4x−3x−6=0

⇒2x(x+2)−3(x+2)=0

⇒(2x−3)(x+2)=0

⇒x=−2,

Step-by-step explanation:

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