Answer:
x = -0.683 (3dp)
x = -7.317 (3dp)
Step-by-step explanation:
<u>Step 1: Apply the quadratic formula</u>
(-b±(
)) / 2a
a = 1 <em>(x²)</em>
b = 8 <em>(8x)</em>
c = 5 <em>(5)</em>
(-8±(
)) / 2 x 1
<u>Step 2: Simplify</u>
(-8±(
)) / 2
<u>Step 3: Solve</u>
You need to replace the ± with first a + and then a -.
(-8+(
)) / 2 = -0.683 (3dp) = x
(-8-(
)) / 2 = -7.317 (3dp) = x
Hope this helps!
Answer
26√2
Step-by-step explanation:
The trick here lies in recognizing that both 18 and 32 have factors that are perfect squares: 18 = 2*9 and 32 = 2*16. Therefore, we can write
2sqrt18 as 2√2√9, or 6√2, and 5sqrt32 as 5√2√16, or 20√2.
Then the original expression, in simplest form, is 6√2 + 20√2, or 26√2
Step-by-step explanation:
5x^2+2x=1
5x^2+2x-1=0
x=-b+/-√b^2-4ac÷2a
x=-2+/-√-2^2-(4×5×-1)÷2×5
x=-2+/+√4--20÷10
x=-2+/-√24÷10
x=-2+√24÷10 or -2-√24÷10
x=-2+4.9÷10 or -2-4.9÷10
x=2.9÷10 or -6.9÷10
x=0.29 or -0.69
A=h•b/2
h=2x+1
b=2x
A=(2x+1) •2x/2
Divide numerator and denominator by 2
A=x(2x+1)