Coefficient 21623

In the equation 2x2 + bx-9 = 0 there is one root x1 = -3 / 2. Determine the second root and the coefficient b

Correct answer:

b =  -3
x2 =  -3

Step-by-step explanation:

2x2+bx9=0 x1=3/2=23=121=1.5  2 x1 x1+b x19=0 2 (1.5) (1.5)+b (1.5)9=0  1.5b=4.5  b=3  b=(3)=3
2x2+3x9=0  2x2+3 x9=0 2x2+3x9=0  a=2;b=3;c=9 D=b24ac=3242(9)=81 D>0  x1,2=2ab±D=43±81 x1,2=43±9 x1,2=0.75±2.25 x1=1.5 x2=3   Factored form of the equation:  2(x1.5)(x+3)=0

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