Quadratic Functions and the Substitution Method (Math Problem Sample)
1:FIND THE VALUE OF A, B,C. WHERE a=b-1 and=b+1 and b=b
2:. Draw the graph of y=x^2+x-3 for -3≤x≤2
3: SOLVE THE SIMULTANEOUS EQUATIONS
Mathematic Assignment 0004
Question 1 Answer
Let the sides of the triangle be a,b,c
a=b-1 and=b+1 and b=b
Square both side
Simplify the equation
Which implies that b3-4b=192b
Which implies that b3=196b
Divide both side by b ,
b2=196 which implies that b=14
Then a=13 ,b=14 ,c=15
Question 2 Answer
Rewrite the equation x2+x-3=0 as quadratic function y=x2+x-3 . Draw the graph of y=x2+x-3 for -3≤x≤2
The solution for the equation y=x2+x-3 can be obtained by looking at the points where the graph y=x2+x-3 cuts the x-axis.
The graphy=x2+x-3, cuts they -axis at x 1.3 and x –2.3
So, the solution for the equation x2+x-3 is x 1.3 or x –2.3.
Question 3 Answer
Solve the simultaneous equation by substitution method.
Get the values of y. Then, the values of x.
Make x to be the subject of the formular using equation (ii)
Substitute x to equation (i) above.
Multiply both sides by 4
After substituting, the equation becomes
Find the value of y using quadratic formula.
It follows that y is eq
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