Question
Exercise 1. Une graphical method to solve the following. it. x^2-1=0 11 x^2+2x+1=0 x^2+3x-4=0 d x^2-4x+6=0 The quadratic function I'interseets the x-axis at the points (1,0) and (-4,0) What is the solution Net of the equation f(x)=0 At what values of does the graph of the equation y=(x+2)(x-6) Naxis?
Solution
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Resposta
To solve the given quadratic equations using the graphical method, we need to find the points where the graph of the quadratic function intersects the x-axis. These points represent the solutions to the equation.a)
To find the solutions, we set the equation equal to zero and solve for x:
So, the solutions to the equation
are
and
.b)
To find the solutions, we set the equation equal to zero and solve for x:
So, the solution to the equation
is
.c)
To find the solutions, we set the equation equal to zero and solve for x:
or
or
So, the solutions to the equation
are
and
.d)
To find the solutions, we set the equation equal to zero and solve for x:
This quadratic equation does not have real solutions as the discriminant is negative.So, the equation
has no real solutions.The quadratic function intersects the x-axis at the points
and
. Therefore, the solutions to the equation
are
and
.At what values of x does the graph of the equation
intersect the x-axis?To find the values of x where the graph intersects the x-axis, we set the equation equal to zero and solve for x:
or
or
So, the graph of the equation
intersects the x-axis at the points
and
.