Answer:
Step-by-step explanation:
<span>We can solve this equation by completing square
and using formula a² -2ab+b² = (a-b)²
x²-3x=-5/4
x² -2*3/2x +(3/2)² = -5/4 +(3/2)²
(x-3/2)²= -5/4 +9/4
</span>(x-3/2)²= 1
√(x-3/2)²= +/-√1
x-3/2 = 1, or x-3/2 = - 1
x=1+3/2=5/2=2.5 or x=-1+3/2= 1/2=0.5
So we got 2 answers
x=2.5 and x= 0.5.
So before we can solve using the quadratic formula, we have to set the equation to zero. We can do that by adding 2 on both sides of the equation
Now we can use the quadratic formula, which is , with a=x^2 coefficient, b=x coefficient, and c=constant. We can form the equation as such:
Firstly, solve the exponents and the multiplications:
Next, do the addition within the radicals (these will be your exact solutions. but I'll solve for the decimal form as well.):
Next, solve for the rest on your calculator, and your answers will be (rounded to the thousandths) y = -0.463, 0.863
A because because you multiply 5 times 14 and that gives you 70