A=x1 = -8,x2 =2, B=x1= -5,x2=5, C=y1 = -4, y2 =5, D=y 18 over 5
alternative form
y=3 3over 5, =3.6
And E=x1=0, x2 =2 over 3
Alternative form
x1=0, x2=0.666667.
question A
Solving steps:Solve the quadratic equation
x²+6x-16=0
write 6x as a difference
x2 +8x-2x-16=0
factor out x for the expression
xx(x+8)-2x-16=0
factor out -2 from the expression
xx(x+8)- 2(x+8)=0
factor out x+8 from the expression
(x+8)x(x- 2)=0
when the product of factors equals 0,at least one factor is 0
x+8=0
x - 2=0
solve the equation for x
x= -8
x - 2=0
solve the equation for x
x= -8
x =2
the equation has 2 solution
x1 = -8,X2 =2
answer is
x1 = -8,x2 =2
Or
Solving steps:Number of solution
x²+6x-16=0
Determine the number of solution using the
discriminant D =b²- 4ac
D =6²- 4x1x(-16)
simply the expression
D=100
Since D>0, the quadratic equation has 2 real solution
2 real solution
Answer is
2 real solution
Question B
Solving steps:Solve the quadratic equation
x²-25=0
Move the constant to the right-hand side and change its sign
x²=25
Take the square root of both sides of the equation and remember to use both positive and negative roots
x=+5
Write the solutions,one with a +sign and one with a -sign
x= -5
x=5
The equation has 2 solutions
x1= -5,x2=5
the answer is
x1= -5,x2=5
Or
Solving steps:Number of solution
x²-25=0
Determine the number of solutions using the discriminant D=b²- 4ac
D=0²- 4x1x(-25)
Simply the expression
D=100
Since D>0,the quadratic equation has 2real solutions
Answer is
2real solutions
answer of question C is
y1 = -4, y2 =5
Answer of question D is
y 18 over 5
alternative form
y=3 3over 5, =3.6
Answer of question E is
x1=0, x2 =2 over 3
Alternative form
x1=0, x2=0.666667
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