Question

Given h(x) = 7x^2 -45x + 12, find h(x) = 18. help!! please explain and show work.

Answer 1

The value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain solution of the equation.

What is quadratic formula?

Quadratic formula is the formula which is used to find the roots of a quadratic equation.The standard form of the quadratic equation is,

ax²+bx+c=0

For the above equation, the quadratic formula can be given as,

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

The equation of variable x is given as,

h(x) = 7x²-45x + 12,

The value of h(x) = 18 has to be found out. Put 18 on the place of h(x) in the above equation.

18 = 7x²-45x + 12

0= 7x²-45x + 12-18

0=7x²-45x -6

Find the roots of the equation using the quadratic formula:

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-(-45)\pm\sqrt{(-45)^2-4(7)(-6)}}{2(-6)}\\x=6.56,-0.13$

Thus, the value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain the solution of the equation.

Learn more about the quadratic formula here;

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