Find the quadratic equation whose roots are twice the roots of 2x^2_5x

1.	Find the quadratic equation whose roots are twice the roots of 2x^2_5x+2=0
Answer» ANSWER: x^2-5x+14=0 Step-by-step explanation: 2x^2-5x+2=0 x=5+✓25-16/4,5-✓25-16/4 x=5+9/4,5-9/4 x=14/4,-4/4 x=7/2,-1 twice the roots=7,-2 x+y=7-2=5 xy=-14 equation is x^2-5x+14=0

Find the quadratic equation whose roots are twice the roots of 2x^2_5x+2=0

Answer»

ANSWER:

x^2-5x+14=0

Step-by-step explanation:

2x^2-5x+2=0

x=5+✓25-16/4,5-✓25-16/4

x=5+9/4,5-9/4

x=14/4,-4/4

x=7/2,-1

twice the roots=7,-2

x+y=7-2=5

xy=-14

equation is x^2-5x+14=0

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Find the quadratic equation whose roots are twice the roots of 2x^2_5x+2=0​

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Find the quadratic equation whose roots are twice the roots of 2x^2_5x+2=0