To solve: 4x2=152x+1

Question

Stuart Rountree · Accepted Answer

Step 1  To solve 4x2=152x+1  Multiply both sides by 2,  2×4x2=(152x+1)2  2×4x2=8x2  By distributive property,  (152x+1)2=2×152x+1×2  (152x+1)2=15x+2  Replace (152x+1)2 with 15x+2  Replace 2×4x2 with 8x2  8x2=15x+2  Add −15x−2 on both sides,  8x2−15x−2=15x+2−15x−2  8x2−15x−2=0  Split the middle term −15x as −16x and +1x  Replace −15x with −16x+1x in 8x2−15x−2=0  8x2−16x+x−2=0  The above equation can be written as 8x×x−8x×2+1×x−1×2  Apply distributive property for first two terms and last two terms,  8x×x−8x×2+1×x−1×2=8x(x−2)+1(x−2)  Again apply distributive property for 8x(x−2)+1(x−2)  8x(x−2)+1(x−2)=(8x+1)(x−2)  So the factors are (8x+1) and (x−2)  8x2−15x−2=(8x+1)(x−2)  To find the value of x,  Take 8x+1=0  Subtract 1 on both sides,  8x+1−1=0−1  8x=−1  Divide by 8 on both sides,  8x8=−18  x=−18  Take

Chanell Sanborn · Accepted Answer

Step 1  Given: 4x2=152x+1  Multiply both sides by 2  4x2×2=152x×2+1×2  Simplify  8x2=15x+2  Subtract 2 from both sides  8x2−2=15x+2−2  Simplify  8x2−2=15x  Subtract 15x from both sides  8x2−2−15x=15x−15x  Simplify  8x2−15x−2=0  Solve with the quadratic formula  x1, 2=−(−15)±(−15)2−4×8(−2)2×8  (−15)2−4×8(−2)=17  x1, 2=−(−15)±172×8  Separate the solutions  x1=−(−15)+172×8  x2=−(−15)−172×8  x=−(−15)+172×8:2  x=−(−15)−172×8:−18  The solutions to the quadratic equation are:  Answer: x=2,x=−18

karton · Accepted Answer

Let&#039;s solve your equation step-by-step. 4x2=152x+1Step 1: Subtract 152x+1 from both sides.4x2−(152x+1)=152x+1−(152x+1)4x2+−152x−1=0For this equation: a=4,b=−7.5,c=−14x2+−7.5x+−1=0Step 2: Use quadratic formula with a=4,b=−7.5,c=−1x=−b±b2−4ac2ax=−(−7.5)±(−7.5)2−4(4)(−1)2(4)x=7.5±72.258x=2,−0.125

To solve: 4x^{2}=\frac{15}{2}x+1

Answered question

Answer & Explanation

New Questions in Algebra I