2×2-x-6 = 0 What is one solution to the equation?

Question

2×2-x-6 = 0
What is one solution to the equation?

in progress 0
Eloise 2 weeks 2021-09-27T15:42:24+00:00 2 Answers 0

Answers ( )

    0
    2021-09-27T15:44:04+00:00

    Answer:

    x1=2 and x2 =-3/2

    Step-by-step explanation:

    2x^2-x-6=0 (quvadratic equation)

    a=2, b=-1, c=-6

    x1=(-b+sqrt(b^2-4ac))/2a

    x1=(-(-1)+sqrt((-1)^2 – 4*2*(-6)))/2*2

    x1 =(1+sqrt (1+48))/4

    x1= (1+sqrt(49))/4

    x1 =(1+7)/4

    x1=8/4

    x1=2

    x2=(-b-sqrt(b^2-4ac))/2a

    x2=(1-7)/4

    x2=-6/4

    x2=-3/2

    0
    2021-09-27T15:44:20+00:00

    Answer:

    X=2

    Step-by-step explanation:

    Easy, easy!

    Let’s use trial and error!

    Since we can factor this equation, let’s do it!

    2x^{2} -x-6=0\\2x^{2} -x=6\\x(2x-1)=6\\\\

    So this means that we have 2 factors: x and (2x-1)

    Those 2 factors multiplied by each must other equal 6.

    So at the top of my head two numbers that multiplied by each other equal 6 are 3 and 2.

    Let’s try x=3 and (2x-1)=2

    Since x=3,

    (2x-1)=2\\(2(3)-1)=2\\(6-1)=2\\(5)\neq 2

    It means that we should keep trying!!!

    Let’s try x=2 and (2x-1)=3

    Since x=2,

    (2x-1)=3\\(2(2)-1)=3\\(4-1)=3\\3=3

    So we have our answer!!!

    x=2

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )