Question

(i) (2m2 – 3m + 10) = (m – 5)
(111) (13 – 216) = (y – 6)
(v) (x4 - 3x2 – 8) = (x + 4)​

Answer 1

Step-by-step explanation:

(1)Let's solve your equation step-by-step.

2m2−3+10=m−5

Step 1: Simplify both sides of the equation.

2m2+7=m−5

Step 2: Subtract m-5 from both sides.

2m2+7−(m−5)=m−5−(m−5)

2m2−m+12=0

For this equation: a=2, b=-1, c=12

2m2+−1m+12=0

Step 3: Use quadratic formula with a=2, b=-1, c=12.

m=−b±√b2−4ac/2a

m=−(−1)±√(−1)2−4(2)(12)/2(2)

m=1±√−95/4

(3)Let's solve your equation step-by-step.

13−216=y−6

Step 1: Simplify both sides of the equation.

13−216=y−6

13+−216=y+−6

(13+−216)=y−6(Combine Like Terms)

−203=y−6

−203=y−6

Step 2: Flip the equation.

y−6=−203

Step 3: Add 6 to both sides.

y−6+6=−203+6

y=−197

(5)Let's solve your equation step-by-step.

x4−3x2−8=x+4

Step 1: Subtract x+4 from both sides.

x4−3x2−8−(x+4)=x+4−(x+4)

x4−3x2−x−12=0

Step 2: Use quartic formula.

x=−2.228715,2.361291