Find the y intercepts of 3x^2+24x-51. quadratic formula

Firstly, starting with the y-intercept. To find the y-intercept, set the x variable to zero and solve as such:

Your y-intercept is (0,-51).

Next, using our equation plug the appropriate values into the quadratic formula:

Next, solve the multiplications and exponent:

Next, solve the addition:

Now, simplify the radical using the product rule of radicals as such:

√1224 = √12 × √102 = √2 × √6 × √6 × √17 = 6 × √2 × √17 = 6√34

Next, divide:

The exact values of your x-intercepts are (-4 + √34, 0) and (-4 - √34, 0).

Now to find the approximate values, solve this twice: once with the + symbol and once with the - symbol:

The approximate values of your x-intercepts (rounded to the hundredths) are (1.83,0) and (-9.83,0).

by definition, an arc subtended by a central angle of some given measure has the same measure. so .