Question

Write 10x² + 3x -2=-1 in the form a(x+h)²+k clearly stating 

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

10x² + 3x -2 = -1

10x^2 + 3x  - 1 = 0            Taking 10 out from the first 2 terms:-

10(x^2 + 0.3) - 1 = 0           Completing the square:

10[(x + 0.15)^2 - 0.15^2] - 1 = 0

10[(x + 0.15)^2 - 0.0225] - 1 = 0

10(x + 0.15)^2 - 0.225 - 1 = 0

10(x + 0.15)^2 - 1.225 = 0  is vertex form.

The vertex (turning point is at (-0.15, -1.225).

y- intercept is at the point where x = 0,

- that is at y = 10(0.15)^2 - 1.225 = -1

So at (0, -1).

Solving for x:

10(x + 0.15)^2 - 1.225 = 0

(x + 0.15)^2 = 0.1225

x + 0.15 = +/- sqrt 0.1225

x = -0.15 +/- sqrt 0.1225

The roots are  -0.5, 0.2