6x^2=-19x-15 solve the equation by graphing and at most two decimal places
1 answer:
Answer:
Step-by-step explanation:
If you are going to graph this, then you should get everything to one side and equate the empty side to y
y = 6x^2 + 19x + 15
The graph is below.
You could use the quadratic equation on this, but it does factor, although not easily.
y = (3x + 5 )(2x + 3)
the roots are found by equating the two binomial factors to 0, each in turn.
3x + 5 = 0 Binomial factor number one. equate to 0
3x = - 5 Subtract 5 from both sides
3x/3 = - 5/3 Divide by 3
x = - 1.667 or
x = - 1.67
2x + 3 = 0 Binomial factor number two. equate to 0
2x = - 3 Subtract 3 from both sides
2x/2 = -3/2
x = - 1.5
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The solution of the equation is
Step-by-step explanation:
To simplify an equation of x
- Simplify each side of the equation
- Collect x in side and the numerical terms in the other side
- Find the value of x
∵ The equation is
- Multiply all terms of the equation by 4 to cancel the denominator
of the 2nd term in the left hand side
∵ The equation is
∴ 8x + (1 - x) = 12
∴ 8x + 1 - x = 12
- Add like terms
∴ (8x - x) + 1 = 12
∴ 7x + 1 = 12
- Subtract 1 from both sides
∴ 7x = 11
- Divide both sides by 7
∴
The solution of the equation is
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